diff --git a/bridges/modules/call-dispatch/src/lib.rs b/bridges/modules/call-dispatch/src/lib.rs
index 205c0cbfc00d8..1524c0d223802 100644
--- a/bridges/modules/call-dispatch/src/lib.rs
+++ b/bridges/modules/call-dispatch/src/lib.rs
@@ -46,10 +46,6 @@ use sp_std::{marker::PhantomData, prelude::*};
 /// Spec version type.
 pub type SpecVersion = u32;
 
-// TODO: update me (https://github.com/paritytech/parity-bridges-common/issues/78)
-/// Weight of single deposit_event() call.
-const DEPOSIT_EVENT_WEIGHT: Weight = 0;
-
 /// Origin of the call on the target chain.
 #[derive(RuntimeDebug, Encode, Decode, Clone)]
 pub enum CallOrigin<SourceChainAccountPublic, TargetChainAccountPublic, TargetChainSignature> {
@@ -149,7 +145,11 @@ impl<T: Trait<I>, I: Instance> MessageDispatch<T::MessageId> for Module<T, I> {
 		<T as Trait<I>>::Call,
 	>;
 
-	fn dispatch(bridge: InstanceId, id: T::MessageId, message: Self::Message) -> Weight {
+	fn dispatch_weight(message: &Self::Message) -> Weight {
+		message.weight
+	}
+
+	fn dispatch(bridge: InstanceId, id: T::MessageId, message: Self::Message) {
 		// verify spec version
 		// (we want it to be the same, because otherwise we may decode Call improperly)
 		let expected_version = <T as frame_system::Trait>::Version::get().spec_version;
@@ -167,7 +167,7 @@ impl<T: Trait<I>, I: Instance> MessageDispatch<T::MessageId> for Module<T, I> {
 				expected_version,
 				message.spec_version,
 			));
-			return DEPOSIT_EVENT_WEIGHT;
+			return;
 		}
 
 		// verify weight
@@ -189,7 +189,7 @@ impl<T: Trait<I>, I: Instance> MessageDispatch<T::MessageId> for Module<T, I> {
 				expected_weight,
 				message.weight,
 			));
-			return DEPOSIT_EVENT_WEIGHT;
+			return;
 		}
 
 		// prepare dispatch origin
@@ -210,7 +210,7 @@ impl<T: Trait<I>, I: Instance> MessageDispatch<T::MessageId> for Module<T, I> {
 						target_signature,
 					);
 					Self::deposit_event(RawEvent::MessageSignatureMismatch(bridge, id));
-					return DEPOSIT_EVENT_WEIGHT;
+					return;
 				}
 
 				target_account
@@ -222,9 +222,11 @@ impl<T: Trait<I>, I: Instance> MessageDispatch<T::MessageId> for Module<T, I> {
 		let dispatch_result = message.call.dispatch(origin);
 		let actual_call_weight = extract_actual_weight(&dispatch_result, &dispatch_info);
 		frame_support::debug::trace!(
-			"Message {:?}/{:?} has been dispatched. Result: {:?}",
+			"Message {:?}/{:?} has been dispatched. Weight: {} of {}. Result: {:?}",
 			bridge,
 			id,
+			actual_call_weight,
+			message.weight,
 			dispatch_result,
 		);
 
@@ -233,8 +235,6 @@ impl<T: Trait<I>, I: Instance> MessageDispatch<T::MessageId> for Module<T, I> {
 			id,
 			dispatch_result.map(drop).map_err(|e| e.error),
 		));
-
-		actual_call_weight + DEPOSIT_EVENT_WEIGHT
 	}
 }
 
diff --git a/bridges/modules/message-lane/Cargo.toml b/bridges/modules/message-lane/Cargo.toml
index 71bb86f689f08..d9a2c3c46bfab 100644
--- a/bridges/modules/message-lane/Cargo.toml
+++ b/bridges/modules/message-lane/Cargo.toml
@@ -7,7 +7,9 @@ edition = "2018"
 license = "GPL-3.0-or-later WITH Classpath-exception-2.0"
 
 [dependencies]
+bp-message-dispatch = { path = "../../primitives/message-dispatch", default-features = false }
 bp-message-lane = { path = "../../primitives/message-lane", default-features = false }
+bp-runtime = { path = "../../primitives/runtime", default-features = false }
 codec = { package = "parity-scale-codec", version = "1.3.1", default-features = false }
 
 # Substrate Based Dependencies
@@ -48,9 +50,11 @@ git = "https://github.com/paritytech/substrate/"
 [features]
 default = ["std"]
 std = [
+	"bp-message-dispatch/std",
 	"bp-message-lane/std",
+	"bp-runtime/std",
 	"codec/std",
 	"frame-support/std",
 	"frame-system/std",
-	"sp-std/std"
+	"sp-std/std",
 ]
diff --git a/bridges/modules/message-lane/rpc/src/lib.rs b/bridges/modules/message-lane/rpc/src/lib.rs
index 799de23dab9d7..ff3ab1507ad8a 100644
--- a/bridges/modules/message-lane/rpc/src/lib.rs
+++ b/bridges/modules/message-lane/rpc/src/lib.rs
@@ -39,7 +39,7 @@ pub type MessagesProof = Bytes;
 
 /// Trie-based storage proof that the message(s) with given key(s) have been received by the bridged chain.
 /// SCALE-encoded trie nodes array `Vec<Vec<u8>>`.
-pub type MessagesReceivingProof = Bytes;
+pub type MessagesDeliveryProof = Bytes;
 
 /// Runtime adapter.
 pub trait Runtime: Send + Sync + 'static {
@@ -63,14 +63,14 @@ pub trait MessageLaneApi<BlockHash> {
 		block: Option<BlockHash>,
 	) -> FutureResult<MessagesProof>;
 
-	/// Returns proof-of-message(s) receiving.
-	#[rpc(name = "messageLane_proveMessagesReceiving")]
-	fn prove_messages_receiving(
+	/// Returns proof-of-message(s) delivery.
+	#[rpc(name = "messageLane_proveMessagesDelivery")]
+	fn prove_messages_delivery(
 		&self,
 		instance: InstanceId,
 		lane: LaneId,
 		block: Option<BlockHash>,
-	) -> FutureResult<MessagesReceivingProof>;
+	) -> FutureResult<MessagesDeliveryProof>;
 }
 
 /// Implements the MessageLaneApi trait for interacting with message lanes.
@@ -119,12 +119,12 @@ where
 		)
 	}
 
-	fn prove_messages_receiving(
+	fn prove_messages_delivery(
 		&self,
 		instance: InstanceId,
 		lane: LaneId,
 		block: Option<Block::Hash>,
-	) -> FutureResult<MessagesReceivingProof> {
+	) -> FutureResult<MessagesDeliveryProof> {
 		Box::new(
 			prove_keys_read(
 				self.backend.clone(),
diff --git a/bridges/modules/message-lane/src/inbound_lane.rs b/bridges/modules/message-lane/src/inbound_lane.rs
index f8bf478ecb29a..9fedf043194da 100644
--- a/bridges/modules/message-lane/src/inbound_lane.rs
+++ b/bridges/modules/message-lane/src/inbound_lane.rs
@@ -16,12 +16,16 @@
 
 //! Everything about incoming messages receival.
 
-use bp_message_lane::{InboundLaneData, LaneId, Message, MessageKey, MessageNonce, OnMessageReceived};
+use bp_message_lane::{
+	target_chain::MessageDispatch, InboundLaneData, LaneId, Message, MessageData, MessageKey, MessageNonce,
+};
 
 /// Inbound lane storage.
 pub trait InboundLaneStorage {
 	/// Message payload.
 	type Payload;
+	/// Delivery and dispatch fee type on source chain.
+	type MessageFee;
 
 	/// Lane id.
 	fn id(&self) -> LaneId;
@@ -43,10 +47,10 @@ impl<S: InboundLaneStorage> InboundLane<S> {
 	}
 
 	/// Receive new message.
-	pub fn receive_message<P: OnMessageReceived<S::Payload>>(
+	pub fn receive_message<P: MessageDispatch<S::Payload, S::MessageFee>>(
 		&mut self,
 		nonce: MessageNonce,
-		payload: S::Payload,
+		message_data: MessageData<S::Payload, S::MessageFee>,
 	) -> bool {
 		let mut data = self.storage.data();
 		let is_correct_message = nonce == data.latest_received_nonce + 1;
@@ -57,12 +61,12 @@ impl<S: InboundLaneStorage> InboundLane<S> {
 		data.latest_received_nonce = nonce;
 		self.storage.set_data(data);
 
-		P::on_message_received(Message {
+		P::dispatch(Message {
 			key: MessageKey {
 				lane_id: self.storage.id(),
 				nonce,
 			},
-			payload,
+			data: message_data,
 		});
 
 		true
@@ -74,14 +78,14 @@ mod tests {
 	use super::*;
 	use crate::{
 		inbound_lane,
-		mock::{run_test, TestRuntime, REGULAR_PAYLOAD, TEST_LANE_ID},
+		mock::{message_data, run_test, TestMessageDispatch, TestRuntime, REGULAR_PAYLOAD, TEST_LANE_ID},
 	};
 
 	#[test]
 	fn fails_to_receive_message_with_incorrect_nonce() {
 		run_test(|| {
 			let mut lane = inbound_lane::<TestRuntime, _>(TEST_LANE_ID);
-			assert!(!lane.receive_message::<()>(10, REGULAR_PAYLOAD));
+			assert!(!lane.receive_message::<TestMessageDispatch>(10, message_data(REGULAR_PAYLOAD)));
 			assert_eq!(lane.storage.data().latest_received_nonce, 0);
 		});
 	}
@@ -90,7 +94,7 @@ mod tests {
 	fn correct_message_is_processed_instantly() {
 		run_test(|| {
 			let mut lane = inbound_lane::<TestRuntime, _>(TEST_LANE_ID);
-			assert!(lane.receive_message::<()>(1, REGULAR_PAYLOAD));
+			assert!(lane.receive_message::<TestMessageDispatch>(1, message_data(REGULAR_PAYLOAD)));
 			assert_eq!(lane.storage.data().latest_received_nonce, 1);
 		});
 	}
diff --git a/bridges/modules/message-lane/src/lib.rs b/bridges/modules/message-lane/src/lib.rs
index f8c9b9d4f8e72..5f99eee756b63 100644
--- a/bridges/modules/message-lane/src/lib.rs
+++ b/bridges/modules/message-lane/src/lib.rs
@@ -21,12 +21,11 @@
 //! 3) the messages are stored in the storage;
 //! 4) external component (relay) delivers messages to bridged chain;
 //! 5) messages are processed in order (ordered by assigned nonce);
-//! 6) relay may send proof-of-receiving and proof-of-processing back to this chain.
+//! 6) relay may send proof-of-delivery back to this chain.
 //!
 //! Once message is sent, its progress can be tracked by looking at module events.
 //! The assigned nonce is reported using `MessageAccepted` event. When message is
-//! accepted by the bridged chain, `MessagesDelivered` is fired. When message is
-//! processedby the bridged chain, `MessagesProcessed` by the bridged chain.
+//! delivered to the the bridged chain, it is reported using `MessagesDelivered` event.
 
 #![cfg_attr(not(feature = "std"), no_std)]
 
@@ -34,9 +33,14 @@ use crate::inbound_lane::{InboundLane, InboundLaneStorage};
 use crate::outbound_lane::{OutboundLane, OutboundLaneStorage};
 
 use bp_message_lane::{
-	InboundLaneData, LaneId, Message, MessageKey, MessageNonce, OnMessageReceived, OutboundLaneData,
+	source_chain::{LaneMessageVerifier, MessageDeliveryAndDispatchPayment, TargetHeaderChain},
+	target_chain::{MessageDispatch, SourceHeaderChain},
+	InboundLaneData, LaneId, MessageData, MessageKey, MessageNonce, OutboundLaneData,
+};
+use frame_support::{
+	decl_error, decl_event, decl_module, decl_storage, sp_runtime::DispatchResult, traits::Get, weights::Weight,
+	Parameter, StorageMap,
 };
-use frame_support::{decl_event, decl_module, decl_storage, traits::Get, Parameter, StorageMap};
 use frame_system::ensure_signed;
 use sp_std::{marker::PhantomData, prelude::*};
 
@@ -46,8 +50,14 @@ mod outbound_lane;
 #[cfg(test)]
 mod mock;
 
+// TODO: update me (https://github.com/paritytech/parity-bridges-common/issues/78)
+/// Upper bound of delivery transaction weight.
+const DELIVERY_BASE_WEIGHT: Weight = 0;
+
 /// The module configuration trait
 pub trait Trait<I = DefaultInstance>: frame_system::Trait {
+	// General types
+
 	/// They overarching event type.
 	type Event: From<Event<Self, I>> + Into<<Self as frame_system::Trait>::Event>;
 	/// Message payload.
@@ -57,8 +67,50 @@ pub trait Trait<I = DefaultInstance>: frame_system::Trait {
 	/// confirmed. The reason is that if you want to use lane, you should be ready to pay
 	/// for it.
 	type MaxMessagesToPruneAtOnce: Get<MessageNonce>;
-	/// Called when message has been received.
-	type OnMessageReceived: OnMessageReceived<Self::Payload>;
+
+	// Types that are used by outbound_lane (on source chain).
+
+	/// Type of delivery_and_dispatch_fee on source chain.
+	type MessageFee: Parameter;
+	/// Target header chain.
+	type TargetHeaderChain: TargetHeaderChain<Self::Payload>;
+	/// Message payload verifier.
+	type LaneMessageVerifier: LaneMessageVerifier<Self::AccountId, Self::Payload, Self::MessageFee>;
+	/// Message delivery payment.
+	type MessageDeliveryAndDispatchPayment: MessageDeliveryAndDispatchPayment<Self::AccountId, Self::MessageFee>;
+
+	// Types that are used by inbound_lane (on target chain).
+
+	/// Source header chain, as it is represented on target chain.
+	type SourceHeaderChain: SourceHeaderChain<Self::Payload, Self::MessageFee>;
+	/// Message dispatch.
+	type MessageDispatch: MessageDispatch<Self::Payload, Self::MessageFee>;
+}
+
+/// Shortcut to messages proof type for Trait.
+type MessagesProofOf<T, I> = <<T as Trait<I>>::SourceHeaderChain as SourceHeaderChain<
+	<T as Trait<I>>::Payload,
+	<T as Trait<I>>::MessageFee,
+>>::MessagesProof;
+/// Shortcut to messages delivery proof type for Trait.
+type MessagesDeliveryProofOf<T, I> =
+	<<T as Trait<I>>::TargetHeaderChain as TargetHeaderChain<<T as Trait<I>>::Payload>>::MessagesDeliveryProof;
+
+decl_error! {
+	pub enum Error for Module<T: Trait<I>, I: Instance> {
+		/// Message has been treated as invalid by chain verifier.
+		MessageRejectedByChainVerifier,
+		/// Message has been treated as invalid by lane verifier.
+		MessageRejectedByLaneVerifier,
+		/// Submitter has failed to pay fee for delivering and dispatching messages.
+		FailedToWithdrawMessageFee,
+		/// Invalid messages has been submitted.
+		InvalidMessagesProof,
+		/// Invalid messages dispatch weight has been declared by the relayer.
+		InvalidMessagesDispatchWeight,
+		/// Invalid messages delivery proof has been submitted.
+		InvalidMessagesDeliveryProof,
+	}
 }
 
 decl_storage! {
@@ -68,7 +120,7 @@ decl_storage! {
 		/// Map of lane id => outbound lane data.
 		OutboundLanes: map hasher(blake2_128_concat) LaneId => OutboundLaneData;
 		/// All queued outbound messages.
-		OutboundMessages: map hasher(blake2_128_concat) MessageKey => Option<T::Payload>;
+		OutboundMessages: map hasher(blake2_128_concat) MessageKey => Option<MessageData<T::Payload, T::MessageFee>>;
 	}
 }
 
@@ -96,59 +148,160 @@ decl_module! {
 			origin,
 			lane_id: LaneId,
 			payload: T::Payload,
-		) {
-			let _ = ensure_signed(origin)?;
+			delivery_and_dispatch_fee: T::MessageFee,
+		) -> DispatchResult {
+			let submitter = ensure_signed(origin)?;
+
+			// let's first check if message can be delivered to target chain
+			T::TargetHeaderChain::verify_message(&payload).map_err(|err| {
+				frame_support::debug::trace!(
+					target: "runtime",
+					"Message to lane {:?} is rejected by target chain: {:?}",
+					lane_id,
+					err,
+				);
+
+				Error::<T, I>::MessageRejectedByChainVerifier
+			})?;
+
+			// now let's enforce any additional lane rules
+			T::LaneMessageVerifier::verify_message(
+				&submitter,
+				&delivery_and_dispatch_fee,
+				&lane_id,
+				&payload,
+			).map_err(|err| {
+				frame_support::debug::trace!(
+					target: "runtime",
+					"Message to lane {:?} is rejected by lane verifier: {:?}",
+					lane_id,
+					err,
+				);
+
+				Error::<T, I>::MessageRejectedByLaneVerifier
+			})?;
+
+			// let's withdraw delivery and dispatch fee from submitter
+			T::MessageDeliveryAndDispatchPayment::pay_delivery_and_dispatch_fee(
+				&submitter,
+				&delivery_and_dispatch_fee,
+			).map_err(|err| {
+				frame_support::debug::trace!(
+					target: "runtime",
+					"Message to lane {:?} is rejected because submitter {:?} is unable to pay fee {:?}: {:?}",
+					lane_id,
+					submitter,
+					delivery_and_dispatch_fee,
+					err,
+				);
+
+				Error::<T, I>::FailedToWithdrawMessageFee
+			})?;
+
+			// finally, save message in outbound storage and emit event
 			let mut lane = outbound_lane::<T, I>(lane_id);
-			let nonce = lane.send_message(payload);
+			let nonce = lane.send_message(MessageData {
+				payload,
+				fee: delivery_and_dispatch_fee,
+			});
 			lane.prune_messages(T::MaxMessagesToPruneAtOnce::get());
 
+			frame_support::debug::trace!(
+				target: "runtime",
+				"Accepted message {} to lane {:?}",
+				nonce,
+				lane_id,
+			);
+
 			Self::deposit_event(RawEvent::MessageAccepted(lane_id, nonce));
+
+			Ok(())
 		}
-	}
-}
 
-impl<T: Trait<I>, I: Instance> Module<T, I> {
-	// =========================================================================================
-	// === Exposed mutables ====================================================================
-	// =========================================================================================
-
-	/// Receive new TRUSTED lane messages.
-	///
-	/// Trusted here means that the function itself doesn't check whether message has actually
-	/// been sent through the other end of the channel. We only check that we are receiving
-	/// and processing messages in order here.
-	///
-	/// Messages vector is required to be sorted by nonce within each lane. Otherise messages
-	/// will be rejected.
-	pub fn receive_messages(messages: Vec<Message<T::Payload>>) -> MessageNonce {
-		let mut correct_messages = 0;
-		for message in messages {
-			let mut lane = inbound_lane::<T, I>(message.key.lane_id);
-			if lane.receive_message::<T::OnMessageReceived>(message.key.nonce, message.payload) {
-				correct_messages += 1;
+		/// Receive messages proof from bridged chain.
+		#[weight = DELIVERY_BASE_WEIGHT + dispatch_weight]
+		pub fn receive_messages_proof(
+			origin,
+			proof: MessagesProofOf<T, I>,
+			dispatch_weight: Weight,
+		) -> DispatchResult {
+			let _ = ensure_signed(origin)?;
+
+			// verify messages proof && convert proof into messages
+			let messages = T::SourceHeaderChain::verify_messages_proof(proof).map_err(|err| {
+				frame_support::debug::trace!(
+					target: "runtime",
+					"Rejecting invalid messages proof: {:?}",
+					err,
+				);
+
+				Error::<T, I>::InvalidMessagesProof
+			})?;
+
+			// verify that relayer is paying actual dispatch weight
+			let actual_dispatch_weight: Weight = messages
+				.iter()
+				.map(T::MessageDispatch::dispatch_weight)
+				.sum();
+			if dispatch_weight < actual_dispatch_weight {
+				frame_support::debug::trace!(
+					target: "runtime",
+					"Rejecting messages proof because of dispatch weight mismatch: declared={}, expected={}",
+					dispatch_weight,
+					actual_dispatch_weight,
+				);
+
+				return Err(Error::<T, I>::InvalidMessagesDispatchWeight.into());
+			}
+
+			// dispatch messages
+			let total_messages = messages.len();
+			let mut valid_messages = 0;
+			for message in messages {
+				let mut lane = inbound_lane::<T, I>(message.key.lane_id);
+				if lane.receive_message::<T::MessageDispatch>(message.key.nonce, message.data) {
+					valid_messages += 1;
+				}
 			}
+
+			frame_support::debug::trace!(
+				target: "runtime",
+				"Received messages: total={}, valid={}",
+				total_messages,
+				valid_messages,
+			);
+
+			Ok(())
 		}
 
-		correct_messages
-	}
-
-	/// Receive TRUSTED proof of message receival.
-	///
-	/// Trusted here means that the function itself doesn't check whether the bridged chain has
-	/// actually received these messages.
-	///
-	/// The caller may break the channel by providing `latest_received_nonce` that is larger
-	/// than actual one. Not-yet-sent messages may be pruned in this case.
-	pub fn confirm_receival(lane_id: &LaneId, latest_received_nonce: MessageNonce) {
-		let mut lane = outbound_lane::<T, I>(*lane_id);
-		let received_range = lane.confirm_receival(latest_received_nonce);
-
-		if let Some(received_range) = received_range {
-			Self::deposit_event(RawEvent::MessagesDelivered(
-				*lane_id,
-				received_range.0,
-				received_range.1,
-			));
+		/// Receive messages delivery proof from bridged chain.
+		#[weight = 0] // TODO: update me (https://github.com/paritytech/parity-bridges-common/issues/78)
+		pub fn receive_messages_delivery_proof(origin, proof: MessagesDeliveryProofOf<T, I>) -> DispatchResult {
+			let _ = ensure_signed(origin)?;
+			let (lane_id, nonce) = T::TargetHeaderChain::verify_messages_delivery_proof(proof).map_err(|err| {
+				frame_support::debug::trace!(
+					target: "runtime",
+					"Rejecting invalid messages delivery proof: {:?}",
+					err,
+				);
+
+				Error::<T, I>::InvalidMessagesDeliveryProof
+			})?;
+
+			let mut lane = outbound_lane::<T, I>(lane_id);
+			let received_range = lane.confirm_delivery(nonce);
+			if let Some(received_range) = received_range {
+				Self::deposit_event(RawEvent::MessagesDelivered(lane_id, received_range.0, received_range.1));
+			}
+
+			frame_support::debug::trace!(
+				target: "runtime",
+				"Received messages delivery proof up to (and including) {} at lane {:?}",
+				nonce,
+				lane_id,
+			);
+
+			Ok(())
 		}
 	}
 }
@@ -177,6 +330,7 @@ struct RuntimeInboundLaneStorage<T, I = DefaultInstance> {
 
 impl<T: Trait<I>, I: Instance> InboundLaneStorage for RuntimeInboundLaneStorage<T, I> {
 	type Payload = T::Payload;
+	type MessageFee = T::MessageFee;
 
 	fn id(&self) -> LaneId {
 		self.lane_id
@@ -199,6 +353,7 @@ struct RuntimeOutboundLaneStorage<T, I = DefaultInstance> {
 
 impl<T: Trait<I>, I: Instance> OutboundLaneStorage for RuntimeOutboundLaneStorage<T, I> {
 	type Payload = T::Payload;
+	type MessageFee = T::MessageFee;
 
 	fn id(&self) -> LaneId {
 		self.lane_id
@@ -213,20 +368,20 @@ impl<T: Trait<I>, I: Instance> OutboundLaneStorage for RuntimeOutboundLaneStorag
 	}
 
 	#[cfg(test)]
-	fn message(&self, nonce: &MessageNonce) -> Option<Self::Payload> {
+	fn message(&self, nonce: &MessageNonce) -> Option<MessageData<T::Payload, T::MessageFee>> {
 		OutboundMessages::<T, I>::get(MessageKey {
 			lane_id: self.lane_id,
 			nonce: *nonce,
 		})
 	}
 
-	fn save_message(&mut self, nonce: MessageNonce, payload: T::Payload) {
+	fn save_message(&mut self, nonce: MessageNonce, mesage_data: MessageData<T::Payload, T::MessageFee>) {
 		OutboundMessages::<T, I>::insert(
 			MessageKey {
 				lane_id: self.lane_id,
 				nonce,
 			},
-			payload,
+			mesage_data,
 		);
 	}
 
@@ -237,3 +392,190 @@ impl<T: Trait<I>, I: Instance> OutboundLaneStorage for RuntimeOutboundLaneStorag
 		});
 	}
 }
+
+#[cfg(test)]
+mod tests {
+	use super::*;
+	use crate::mock::{
+		run_test, Origin, TestEvent, TestMessageDeliveryAndDispatchPayment, TestRuntime,
+		PAYLOAD_REJECTED_BY_TARGET_CHAIN, REGULAR_PAYLOAD, TEST_LANE_ID,
+	};
+	use bp_message_lane::Message;
+	use frame_support::{assert_noop, assert_ok};
+	use frame_system::{EventRecord, Module as System, Phase};
+
+	fn send_regular_message() {
+		System::<TestRuntime>::set_block_number(1);
+		System::<TestRuntime>::reset_events();
+
+		assert_ok!(Module::<TestRuntime>::send_message(
+			Origin::signed(1),
+			TEST_LANE_ID,
+			REGULAR_PAYLOAD,
+			REGULAR_PAYLOAD.1,
+		));
+
+		// check event with assigned nonce
+		assert_eq!(
+			System::<TestRuntime>::events(),
+			vec![EventRecord {
+				phase: Phase::Initialization,
+				event: TestEvent::message_lane(RawEvent::MessageAccepted(TEST_LANE_ID, 1)),
+				topics: vec![],
+			}],
+		);
+
+		// check that fee has been withdrawn from submitter
+		assert!(TestMessageDeliveryAndDispatchPayment::is_fee_paid(1, REGULAR_PAYLOAD.1));
+	}
+
+	fn receive_messages_delivery_proof() {
+		System::<TestRuntime>::set_block_number(1);
+		System::<TestRuntime>::reset_events();
+
+		assert_ok!(Module::<TestRuntime>::receive_messages_delivery_proof(
+			Origin::signed(1),
+			Ok((TEST_LANE_ID, 1)),
+		));
+
+		assert_eq!(
+			System::<TestRuntime>::events(),
+			vec![EventRecord {
+				phase: Phase::Initialization,
+				event: TestEvent::message_lane(RawEvent::MessagesDelivered(TEST_LANE_ID, 1, 1)),
+				topics: vec![],
+			}],
+		);
+	}
+
+	#[test]
+	fn send_message_works() {
+		run_test(|| {
+			send_regular_message();
+		});
+	}
+
+	#[test]
+	fn chain_verifier_rejects_invalid_message_in_send_message() {
+		run_test(|| {
+			// messages with this payload are rejected by target chain verifier
+			assert_noop!(
+				Module::<TestRuntime>::send_message(
+					Origin::signed(1),
+					TEST_LANE_ID,
+					PAYLOAD_REJECTED_BY_TARGET_CHAIN,
+					PAYLOAD_REJECTED_BY_TARGET_CHAIN.1
+				),
+				Error::<TestRuntime, DefaultInstance>::MessageRejectedByChainVerifier,
+			);
+		});
+	}
+
+	#[test]
+	fn lane_verifier_rejects_invalid_message_in_send_message() {
+		run_test(|| {
+			// messages with zero fee are rejected by lane verifier
+			assert_noop!(
+				Module::<TestRuntime>::send_message(Origin::signed(1), TEST_LANE_ID, REGULAR_PAYLOAD, 0),
+				Error::<TestRuntime, DefaultInstance>::MessageRejectedByLaneVerifier,
+			);
+		});
+	}
+
+	#[test]
+	fn message_send_fails_if_submitter_cant_pay_message_fee() {
+		run_test(|| {
+			TestMessageDeliveryAndDispatchPayment::reject_payments();
+			assert_noop!(
+				Module::<TestRuntime>::send_message(
+					Origin::signed(1),
+					TEST_LANE_ID,
+					REGULAR_PAYLOAD,
+					REGULAR_PAYLOAD.1
+				),
+				Error::<TestRuntime, DefaultInstance>::FailedToWithdrawMessageFee,
+			);
+		});
+	}
+
+	#[test]
+	fn receive_messages_proof_works() {
+		run_test(|| {
+			assert_ok!(Module::<TestRuntime>::receive_messages_proof(
+				Origin::signed(1),
+				Ok(vec![Message {
+					key: MessageKey {
+						lane_id: TEST_LANE_ID,
+						nonce: 1,
+					},
+					data: MessageData {
+						payload: REGULAR_PAYLOAD,
+						fee: 0,
+					},
+				}]),
+				REGULAR_PAYLOAD.1,
+			));
+
+			assert_eq!(
+				InboundLanes::<DefaultInstance>::get(TEST_LANE_ID).latest_received_nonce,
+				1
+			);
+		});
+	}
+
+	#[test]
+	fn receive_messages_proof_rejects_invalid_dispatch_weight() {
+		run_test(|| {
+			assert_noop!(
+				Module::<TestRuntime>::receive_messages_proof(
+					Origin::signed(1),
+					Ok(vec![Message {
+						key: MessageKey {
+							lane_id: TEST_LANE_ID,
+							nonce: 1,
+						},
+						data: MessageData {
+							payload: REGULAR_PAYLOAD,
+							fee: 0,
+						},
+					}]),
+					REGULAR_PAYLOAD.1 - 1,
+				),
+				Error::<TestRuntime, DefaultInstance>::InvalidMessagesDispatchWeight,
+			);
+		});
+	}
+
+	#[test]
+	fn receive_messages_proof_rejects_invalid_proof() {
+		run_test(|| {
+			assert_noop!(
+				Module::<TestRuntime, DefaultInstance>::receive_messages_proof(Origin::signed(1), Err(()), 0),
+				Error::<TestRuntime, DefaultInstance>::InvalidMessagesProof,
+			);
+		});
+	}
+
+	#[test]
+	fn receive_messages_delivery_proof_works() {
+		run_test(|| {
+			send_regular_message();
+			receive_messages_delivery_proof();
+
+			assert_eq!(
+				OutboundLanes::<DefaultInstance>::get(&TEST_LANE_ID).latest_received_nonce,
+				1,
+			);
+		});
+	}
+
+	#[test]
+	fn receive_messages_delivery_proof_rejects_invalid_proof() {
+		run_test(|| {
+			assert_noop!(
+				Module::<TestRuntime>::receive_messages_delivery_proof(Origin::signed(1), Err(()),),
+				Error::<TestRuntime, DefaultInstance>::InvalidMessagesDeliveryProof,
+			);
+		});
+	}
+}
diff --git a/bridges/modules/message-lane/src/mock.rs b/bridges/modules/message-lane/src/mock.rs
index c0d27e389aa3b..a682d6705b55b 100644
--- a/bridges/modules/message-lane/src/mock.rs
+++ b/bridges/modules/message-lane/src/mock.rs
@@ -14,7 +14,13 @@
 // You should have received a copy of the GNU General Public License
 // along with Parity Bridges Common.  If not, see <http://www.gnu.org/licenses/>.
 
-use bp_message_lane::LaneId;
+use crate::Trait;
+
+use bp_message_lane::{
+	source_chain::{LaneMessageVerifier, MessageDeliveryAndDispatchPayment, TargetHeaderChain},
+	target_chain::{MessageDispatch, SourceHeaderChain},
+	LaneId, Message, MessageData, MessageNonce,
+};
 use frame_support::{impl_outer_event, impl_outer_origin, parameter_types, weights::Weight};
 use sp_core::H256;
 use sp_runtime::{
@@ -23,10 +29,9 @@ use sp_runtime::{
 	Perbill,
 };
 
-use crate::Trait;
-
 pub type AccountId = u64;
-pub type TestPayload = u64;
+pub type TestPayload = (u64, Weight);
+pub type TestMessageFee = u64;
 
 #[derive(Clone, Eq, PartialEq, Debug)]
 pub struct TestRuntime;
@@ -69,7 +74,7 @@ impl frame_system::Trait for TestRuntime {
 	type DbWeight = ();
 	type BlockExecutionWeight = ();
 	type ExtrinsicBaseWeight = ();
-	type MaximumExtrinsicWeight = ();
+	type MaximumExtrinsicWeight = MaximumBlockWeight;
 	type AvailableBlockRatio = AvailableBlockRatio;
 	type MaximumBlockLength = MaximumBlockLength;
 	type Version = ();
@@ -89,16 +94,140 @@ impl Trait for TestRuntime {
 	type Event = TestEvent;
 	type Payload = TestPayload;
 	type MaxMessagesToPruneAtOnce = MaxMessagesToPruneAtOnce;
-	type OnMessageReceived = ();
+
+	type MessageFee = TestMessageFee;
+	type TargetHeaderChain = TestTargetHeaderChain;
+	type LaneMessageVerifier = TestLaneMessageVerifier;
+	type MessageDeliveryAndDispatchPayment = TestMessageDeliveryAndDispatchPayment;
+
+	type SourceHeaderChain = TestSourceHeaderChain;
+	type MessageDispatch = TestMessageDispatch;
 }
 
+/// Error that is returned by all test implementations.
+pub const TEST_ERROR: &str = "Test error";
+
 /// Lane that we're using in tests.
 pub const TEST_LANE_ID: LaneId = [0, 0, 0, 1];
 
 /// Regular message payload.
-pub const REGULAR_PAYLOAD: TestPayload = 0;
+pub const REGULAR_PAYLOAD: TestPayload = (0, 50);
+
+/// Payload that is rejected by `TestTargetHeaderChain`.
+pub const PAYLOAD_REJECTED_BY_TARGET_CHAIN: TestPayload = (1, 50);
+
+/// Target header chain that is used in tests.
+#[derive(Debug, Default)]
+pub struct TestTargetHeaderChain;
+
+impl TargetHeaderChain<TestPayload> for TestTargetHeaderChain {
+	type Error = &'static str;
+
+	type MessagesDeliveryProof = Result<(LaneId, MessageNonce), ()>;
+
+	fn verify_message(payload: &TestPayload) -> Result<(), Self::Error> {
+		if *payload == PAYLOAD_REJECTED_BY_TARGET_CHAIN {
+			Err(TEST_ERROR)
+		} else {
+			Ok(())
+		}
+	}
+
+	fn verify_messages_delivery_proof(
+		proof: Self::MessagesDeliveryProof,
+	) -> Result<(LaneId, MessageNonce), Self::Error> {
+		proof.map_err(|_| TEST_ERROR)
+	}
+}
+
+/// Lane message verifier that is used in tests.
+#[derive(Debug, Default)]
+pub struct TestLaneMessageVerifier;
+
+impl LaneMessageVerifier<AccountId, TestPayload, TestMessageFee> for TestLaneMessageVerifier {
+	type Error = &'static str;
+
+	fn verify_message(
+		_submitter: &AccountId,
+		delivery_and_dispatch_fee: &TestMessageFee,
+		_lane: &LaneId,
+		_payload: &TestPayload,
+	) -> Result<(), Self::Error> {
+		if *delivery_and_dispatch_fee != 0 {
+			Ok(())
+		} else {
+			Err(TEST_ERROR)
+		}
+	}
+}
+
+/// Message fee payment system that is used in tests.
+#[derive(Debug, Default)]
+pub struct TestMessageDeliveryAndDispatchPayment;
+
+impl TestMessageDeliveryAndDispatchPayment {
+	/// Reject all payments.
+	pub fn reject_payments() {
+		frame_support::storage::unhashed::put(b":reject-message-fee:", &true);
+	}
+
+	/// Returns true if given fee has been paid by given relayer.
+	pub fn is_fee_paid(submitter: AccountId, fee: TestMessageFee) -> bool {
+		frame_support::storage::unhashed::get(b":message-fee:") == Some((submitter, fee))
+	}
+}
+
+impl MessageDeliveryAndDispatchPayment<AccountId, TestMessageFee> for TestMessageDeliveryAndDispatchPayment {
+	type Error = &'static str;
+
+	fn pay_delivery_and_dispatch_fee(submitter: &AccountId, fee: &TestMessageFee) -> Result<(), Self::Error> {
+		if frame_support::storage::unhashed::get(b":reject-message-fee:") == Some(true) {
+			return Err(TEST_ERROR);
+		}
+
+		frame_support::storage::unhashed::put(b":message-fee:", &(submitter, fee));
+		Ok(())
+	}
+}
+
+/// Source header chain that is used in tests.
+#[derive(Debug)]
+pub struct TestSourceHeaderChain;
+
+impl SourceHeaderChain<TestPayload, TestMessageFee> for TestSourceHeaderChain {
+	type Error = &'static str;
+
+	type MessagesProof = Result<Vec<Message<TestPayload, TestMessageFee>>, ()>;
+
+	fn verify_messages_proof(
+		proof: Self::MessagesProof,
+	) -> Result<Vec<Message<TestPayload, TestMessageFee>>, Self::Error> {
+		proof.map_err(|_| TEST_ERROR)
+	}
+}
+
+/// Source header chain that is used in tests.
+#[derive(Debug)]
+pub struct TestMessageDispatch;
+
+impl MessageDispatch<TestPayload, TestMessageFee> for TestMessageDispatch {
+	fn dispatch_weight(message: &Message<TestPayload, TestMessageFee>) -> Weight {
+		message.data.payload.1
+	}
+
+	fn dispatch(_message: Message<TestPayload, TestMessageFee>) {}
+}
+
+/// Return message data with valid fee for given payload.
+pub fn message_data(payload: TestPayload) -> MessageData<TestPayload, TestMessageFee> {
+	MessageData { payload, fee: 1 }
+}
 
 /// Run message lane test.
 pub fn run_test<T>(test: impl FnOnce() -> T) -> T {
-	sp_io::TestExternalities::new(Default::default()).execute_with(test)
+	let t = frame_system::GenesisConfig::default()
+		.build_storage::<TestRuntime>()
+		.unwrap();
+	let mut ext = sp_io::TestExternalities::new(t);
+	ext.execute_with(test)
 }
diff --git a/bridges/modules/message-lane/src/outbound_lane.rs b/bridges/modules/message-lane/src/outbound_lane.rs
index 52a1404ba7a76..8afcd0702869b 100644
--- a/bridges/modules/message-lane/src/outbound_lane.rs
+++ b/bridges/modules/message-lane/src/outbound_lane.rs
@@ -16,12 +16,14 @@
 
 //! Everything about outgoing messages sending.
 
-use bp_message_lane::{LaneId, MessageNonce, OutboundLaneData};
+use bp_message_lane::{LaneId, MessageData, MessageNonce, OutboundLaneData};
 
 /// Outbound lane storage.
 pub trait OutboundLaneStorage {
 	/// Message payload.
 	type Payload;
+	/// Delivery and dispatch fee type on source chain.
+	type MessageFee;
 
 	/// Lane id.
 	fn id(&self) -> LaneId;
@@ -31,9 +33,9 @@ pub trait OutboundLaneStorage {
 	fn set_data(&mut self, data: OutboundLaneData);
 	/// Returns saved outbound message payload.
 	#[cfg(test)]
-	fn message(&self, nonce: &MessageNonce) -> Option<Self::Payload>;
+	fn message(&self, nonce: &MessageNonce) -> Option<MessageData<Self::Payload, Self::MessageFee>>;
 	/// Save outbound message in the storage.
-	fn save_message(&mut self, nonce: MessageNonce, payload: Self::Payload);
+	fn save_message(&mut self, nonce: MessageNonce, message_data: MessageData<Self::Payload, Self::MessageFee>);
 	/// Remove outbound message from the storage.
 	fn remove_message(&mut self, nonce: &MessageNonce);
 }
@@ -52,22 +54,22 @@ impl<S: OutboundLaneStorage> OutboundLane<S> {
 	/// Send message over lane.
 	///
 	/// Returns new message nonce.
-	pub fn send_message(&mut self, payload: S::Payload) -> MessageNonce {
+	pub fn send_message(&mut self, message_data: MessageData<S::Payload, S::MessageFee>) -> MessageNonce {
 		let mut data = self.storage.data();
 		let nonce = data.latest_generated_nonce + 1;
 		data.latest_generated_nonce = nonce;
 
-		self.storage.save_message(nonce, payload);
+		self.storage.save_message(nonce, message_data);
 		self.storage.set_data(data);
 
 		nonce
 	}
 
-	/// Confirm message receival.
+	/// Confirm messages delivery.
 	///
 	/// Returns `None` if confirmation is wrong/duplicate.
 	/// Returns `Some` with inclusive ranges of message nonces that have been received.
-	pub fn confirm_receival(&mut self, latest_received_nonce: MessageNonce) -> Option<(MessageNonce, MessageNonce)> {
+	pub fn confirm_delivery(&mut self, latest_received_nonce: MessageNonce) -> Option<(MessageNonce, MessageNonce)> {
 		let mut data = self.storage.data();
 		if latest_received_nonce <= data.latest_received_nonce || latest_received_nonce > data.latest_generated_nonce {
 			return None;
@@ -107,7 +109,7 @@ impl<S: OutboundLaneStorage> OutboundLane<S> {
 mod tests {
 	use super::*;
 	use crate::{
-		mock::{run_test, TestRuntime, REGULAR_PAYLOAD, TEST_LANE_ID},
+		mock::{message_data, run_test, TestRuntime, REGULAR_PAYLOAD, TEST_LANE_ID},
 		outbound_lane,
 	};
 
@@ -116,57 +118,57 @@ mod tests {
 		run_test(|| {
 			let mut lane = outbound_lane::<TestRuntime, _>(TEST_LANE_ID);
 			assert_eq!(lane.storage.data().latest_generated_nonce, 0);
-			assert_eq!(lane.send_message(REGULAR_PAYLOAD), 1);
+			assert_eq!(lane.send_message(message_data(REGULAR_PAYLOAD)), 1);
 			assert!(lane.storage.message(&1).is_some());
 			assert_eq!(lane.storage.data().latest_generated_nonce, 1);
 		});
 	}
 
 	#[test]
-	fn confirm_receival_works() {
+	fn confirm_delivery_works() {
 		run_test(|| {
 			let mut lane = outbound_lane::<TestRuntime, _>(TEST_LANE_ID);
-			assert_eq!(lane.send_message(REGULAR_PAYLOAD), 1);
-			assert_eq!(lane.send_message(REGULAR_PAYLOAD), 2);
-			assert_eq!(lane.send_message(REGULAR_PAYLOAD), 3);
+			assert_eq!(lane.send_message(message_data(REGULAR_PAYLOAD)), 1);
+			assert_eq!(lane.send_message(message_data(REGULAR_PAYLOAD)), 2);
+			assert_eq!(lane.send_message(message_data(REGULAR_PAYLOAD)), 3);
 			assert_eq!(lane.storage.data().latest_generated_nonce, 3);
 			assert_eq!(lane.storage.data().latest_received_nonce, 0);
-			assert_eq!(lane.confirm_receival(3), Some((1, 3)));
+			assert_eq!(lane.confirm_delivery(3), Some((1, 3)));
 			assert_eq!(lane.storage.data().latest_generated_nonce, 3);
 			assert_eq!(lane.storage.data().latest_received_nonce, 3);
 		});
 	}
 
 	#[test]
-	fn confirm_receival_rejects_nonce_lesser_than_latest_received() {
+	fn confirm_delivery_rejects_nonce_lesser_than_latest_received() {
 		run_test(|| {
 			let mut lane = outbound_lane::<TestRuntime, _>(TEST_LANE_ID);
-			lane.send_message(REGULAR_PAYLOAD);
-			lane.send_message(REGULAR_PAYLOAD);
-			lane.send_message(REGULAR_PAYLOAD);
+			lane.send_message(message_data(REGULAR_PAYLOAD));
+			lane.send_message(message_data(REGULAR_PAYLOAD));
+			lane.send_message(message_data(REGULAR_PAYLOAD));
 			assert_eq!(lane.storage.data().latest_generated_nonce, 3);
 			assert_eq!(lane.storage.data().latest_received_nonce, 0);
-			assert_eq!(lane.confirm_receival(3), Some((1, 3)));
-			assert_eq!(lane.confirm_receival(3), None);
+			assert_eq!(lane.confirm_delivery(3), Some((1, 3)));
+			assert_eq!(lane.confirm_delivery(3), None);
 			assert_eq!(lane.storage.data().latest_generated_nonce, 3);
 			assert_eq!(lane.storage.data().latest_received_nonce, 3);
 
-			assert_eq!(lane.confirm_receival(2), None);
+			assert_eq!(lane.confirm_delivery(2), None);
 			assert_eq!(lane.storage.data().latest_generated_nonce, 3);
 			assert_eq!(lane.storage.data().latest_received_nonce, 3);
 		});
 	}
 
 	#[test]
-	fn confirm_receival_rejects_nonce_larger_than_last_generated() {
+	fn confirm_delivery_rejects_nonce_larger_than_last_generated() {
 		run_test(|| {
 			let mut lane = outbound_lane::<TestRuntime, _>(TEST_LANE_ID);
-			lane.send_message(REGULAR_PAYLOAD);
-			lane.send_message(REGULAR_PAYLOAD);
-			lane.send_message(REGULAR_PAYLOAD);
+			lane.send_message(message_data(REGULAR_PAYLOAD));
+			lane.send_message(message_data(REGULAR_PAYLOAD));
+			lane.send_message(message_data(REGULAR_PAYLOAD));
 			assert_eq!(lane.storage.data().latest_generated_nonce, 3);
 			assert_eq!(lane.storage.data().latest_received_nonce, 0);
-			assert_eq!(lane.confirm_receival(10), None);
+			assert_eq!(lane.confirm_delivery(10), None);
 			assert_eq!(lane.storage.data().latest_generated_nonce, 3);
 			assert_eq!(lane.storage.data().latest_received_nonce, 0);
 		});
@@ -180,17 +182,17 @@ mod tests {
 			assert_eq!(lane.prune_messages(100), 0);
 			assert_eq!(lane.storage.data().oldest_unpruned_nonce, 1);
 			// when nothing is confirmed, nothing is pruned
-			lane.send_message(REGULAR_PAYLOAD);
-			lane.send_message(REGULAR_PAYLOAD);
-			lane.send_message(REGULAR_PAYLOAD);
+			lane.send_message(message_data(REGULAR_PAYLOAD));
+			lane.send_message(message_data(REGULAR_PAYLOAD));
+			lane.send_message(message_data(REGULAR_PAYLOAD));
 			assert_eq!(lane.prune_messages(100), 0);
 			assert_eq!(lane.storage.data().oldest_unpruned_nonce, 1);
 			// after confirmation, some messages are received
-			assert_eq!(lane.confirm_receival(2), Some((1, 2)));
+			assert_eq!(lane.confirm_delivery(2), Some((1, 2)));
 			assert_eq!(lane.prune_messages(100), 2);
 			assert_eq!(lane.storage.data().oldest_unpruned_nonce, 3);
 			// after last message is confirmed, everything is pruned
-			assert_eq!(lane.confirm_receival(3), Some((3, 3)));
+			assert_eq!(lane.confirm_delivery(3), Some((3, 3)));
 			assert_eq!(lane.prune_messages(100), 1);
 			assert_eq!(lane.storage.data().oldest_unpruned_nonce, 4);
 		});
diff --git a/bridges/primitives/message-dispatch/src/lib.rs b/bridges/primitives/message-dispatch/src/lib.rs
index 04b40e597268f..1877df90bcb37 100644
--- a/bridges/primitives/message-dispatch/src/lib.rs
+++ b/bridges/primitives/message-dispatch/src/lib.rs
@@ -29,6 +29,12 @@ pub trait MessageDispatch<MessageId> {
 	/// A type of the message to be dispatched.
 	type Message: codec::Decode;
 
+	/// Estimate dispatch weight.
+	///
+	/// This function must: (1) be instant and (2) return correct upper bound
+	/// of dispatch weight.
+	fn dispatch_weight(message: &Self::Message) -> Weight;
+
 	/// Dispatches the message internally.
 	///
 	/// `bridge` indicates instance of deployed bridge where the message came from.
@@ -36,5 +42,5 @@ pub trait MessageDispatch<MessageId> {
 	/// `id` is a short unique if of the message.
 	///
 	/// Returns post-dispatch (actual) message weight.
-	fn dispatch(bridge: InstanceId, id: MessageId, message: Self::Message) -> Weight;
+	fn dispatch(bridge: InstanceId, id: MessageId, message: Self::Message);
 }
diff --git a/bridges/primitives/message-lane/Cargo.toml b/bridges/primitives/message-lane/Cargo.toml
index b937e452ac72f..538a5d6fb72ac 100644
--- a/bridges/primitives/message-lane/Cargo.toml
+++ b/bridges/primitives/message-lane/Cargo.toml
@@ -11,15 +11,29 @@ codec = { package = "parity-scale-codec", version = "1.3.1", default-features =
 
 # Substrate Based Dependencies
 
+[dependencies.frame-support]
+version = "2.0.0-rc6"
+tag = 'v2.0.0-rc6'
+default-features = false
+git = "https://github.com/paritytech/substrate.git"
+
 [dependencies.sp-api]
 version = "2.0.0-rc6"
 tag = 'v2.0.0-rc6'
 default-features = false
 git = "https://github.com/paritytech/substrate.git"
 
+[dependencies.sp-std]
+version = "2.0.0-rc6"
+tag = 'v2.0.0-rc6'
+default-features = false
+git = "https://github.com/paritytech/substrate.git"
+
 [features]
 default = ["std"]
 std = [
 	"codec/std",
-	"sp-api/std"
+	"frame-support/std",
+	"sp-api/std",
+	"sp-std/std"
 ]
diff --git a/bridges/primitives/message-lane/src/lib.rs b/bridges/primitives/message-lane/src/lib.rs
index a4bfac459b8b9..a2e3e41cfd40c 100644
--- a/bridges/primitives/message-lane/src/lib.rs
+++ b/bridges/primitives/message-lane/src/lib.rs
@@ -14,7 +14,7 @@
 // You should have received a copy of the GNU General Public License
 // along with Parity Bridges Common.  If not, see <http://www.gnu.org/licenses/>.
 
-//! Primitives for sending and receiving Substrate <-> Substrate messages.
+//! Primitives of message lane module.
 
 #![cfg_attr(not(feature = "std"), no_std)]
 // RuntimeApi generated functions
@@ -23,7 +23,12 @@
 #![allow(clippy::unnecessary_mut_passed)]
 
 use codec::{Decode, Encode};
+use frame_support::RuntimeDebug;
 use sp_api::decl_runtime_apis;
+use sp_std::prelude::*;
+
+pub mod source_chain;
+pub mod target_chain;
 
 /// Lane identifier.
 pub type LaneId = [u8; 4];
@@ -31,8 +36,11 @@ pub type LaneId = [u8; 4];
 /// Message nonce. Valid messages will never have 0 nonce.
 pub type MessageNonce = u64;
 
+/// Message id as a tuple.
+pub type MessageId = (LaneId, MessageNonce);
+
 /// Message key (unique message identifier) as it is stored in the storage.
-#[derive(Encode, Decode, Clone)]
+#[derive(Encode, Decode, Clone, PartialEq, Eq, RuntimeDebug)]
 pub struct MessageKey {
 	/// ID of the message lane.
 	pub lane_id: LaneId,
@@ -40,37 +48,33 @@ pub struct MessageKey {
 	pub nonce: MessageNonce,
 }
 
-/// Message as it is stored in the storage.
-#[derive(Encode, Decode, Clone)]
-pub struct Message<Payload> {
-	/// Message key.
-	pub key: MessageKey,
+/// Message data as it is stored in the storage.
+#[derive(Encode, Decode, Clone, PartialEq, Eq, RuntimeDebug)]
+pub struct MessageData<Payload, Fee> {
 	/// Message payload.
 	pub payload: Payload,
+	/// Message delivery and dispatch fee, paid by the submitter.
+	pub fee: Fee,
 }
 
-/// Called when inbound message is received.
-pub trait OnMessageReceived<Payload> {
-	/// Called when inbound message is received.
-	///
-	/// It is up to the implementers of this trait to determine whether the message
-	/// is invalid (i.e. improperly encoded, has too large weight, ...) or not.
-	fn on_message_received(message: Message<Payload>);
-}
-
-impl<Payload> OnMessageReceived<Payload> for () {
-	fn on_message_received(_message: Message<Payload>) {}
+/// Message as it is stored in the storage.
+#[derive(Encode, Decode, Clone, PartialEq, Eq, RuntimeDebug)]
+pub struct Message<Payload, Fee> {
+	/// Message key.
+	pub key: MessageKey,
+	/// Message data.
+	pub data: MessageData<Payload, Fee>,
 }
 
 /// Inbound lane data.
-#[derive(Default, Encode, Decode, Clone)]
+#[derive(Default, Encode, Decode, Clone, RuntimeDebug, PartialEq)]
 pub struct InboundLaneData {
 	/// Nonce of latest message that we have received from bridged chain.
 	pub latest_received_nonce: MessageNonce,
 }
 
 /// Outbound lane data.
-#[derive(Encode, Decode, Clone)]
+#[derive(Encode, Decode, Clone, RuntimeDebug, PartialEq)]
 pub struct OutboundLaneData {
 	/// Nonce of oldest message that we haven't yet pruned. May point to not-yet-generated message if
 	/// all sent messages are already pruned.
diff --git a/bridges/primitives/message-lane/src/source_chain.rs b/bridges/primitives/message-lane/src/source_chain.rs
new file mode 100644
index 0000000000000..cce5e0d5bfbce
--- /dev/null
+++ b/bridges/primitives/message-lane/src/source_chain.rs
@@ -0,0 +1,97 @@
+// Copyright 2019-2020 Parity Technologies (UK) Ltd.
+// This file is part of Parity Bridges Common.
+
+// Parity Bridges Common is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+
+// Parity Bridges Common is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with Parity Bridges Common.  If not, see <http://www.gnu.org/licenses/>.
+
+//! Primitives of message lane module, that are used on the source chain.
+
+use crate::{LaneId, MessageNonce};
+
+use frame_support::Parameter;
+use sp_std::fmt::Debug;
+
+/// Target chain API. Used by source chain to verify target chain proofs.
+///
+/// All implementations of this trait should only work with finalized data that
+/// can't change. Wrong implementation may lead to invalid lane states (i.e. lane
+/// that's stuck) and/or processing messages without paying fees.
+pub trait TargetHeaderChain<Payload> {
+	/// Error type.
+	type Error: Debug + Into<&'static str>;
+
+	/// Proof that messages have been received by target chain.
+	type MessagesDeliveryProof: Parameter;
+
+	/// Verify message payload before we accept it.
+	///
+	/// **CAUTION**: this is very important function. Incorrect implementation may lead
+	/// to stuck lanes and/or relayers loses.
+	///
+	/// The proper implementation must ensure that the delivery-transaction with this
+	/// payload would (at least) be accepted into target chain transaction pool AND
+	/// eventually will be successfully 'mined'. The most obvious incorrect implementation
+	/// example would be implementation for BTC chain that accepts payloads larger than
+	/// 1MB. BTC nodes aren't accepting transactions that are larger than 1MB, so relayer
+	/// will be unable to craft valid transaction => this (and all subsequent) messages will
+	/// never be delivered.
+	fn verify_message(payload: &Payload) -> Result<(), Self::Error>;
+
+	/// Verify messages delivery proof and return lane && nonce of the latest recevied message.
+	fn verify_messages_delivery_proof(
+		proof: Self::MessagesDeliveryProof,
+	) -> Result<(LaneId, MessageNonce), Self::Error>;
+}
+
+/// Lane message verifier.
+///
+/// Runtime developer may implement any additional validation logic over message-lane mechanism.
+/// E.g. if lanes should have some security (e.g. you can only accept Lane1 messages from
+/// Submitter1, Lane2 messages for those who has submitted first message to this lane, disable
+/// Lane3 until some block, ...), then it may be built using this verifier.
+///
+/// Any fee requirements should also be enforced here.
+pub trait LaneMessageVerifier<Submitter, Payload, Fee> {
+	/// Error type.
+	type Error: Debug + Into<&'static str>;
+
+	/// Verify message payload and return Ok(()) if message is valid and allowed to be sent over the lane.
+	fn verify_message(
+		submitter: &Submitter,
+		delivery_and_dispatch_fee: &Fee,
+		lane: &LaneId,
+		payload: &Payload,
+	) -> Result<(), Self::Error>;
+}
+
+/// Message delivery payment. It is called as a part of submit-message transaction. Transaction
+/// submitter is paying (in source chain tokens/assets) for:
+///
+/// 1) submit-message-transaction-fee itself. This fee is not included in the
+/// `delivery_and_dispatch_fee` and is witheld by the regular transaction payment mechanism;
+/// 2) message-delivery-transaction-fee. It is submitted to the target node by relayer;
+/// 3) message-dispatch fee. It is paid by relayer for processing message by target chain;
+/// 4) message-receiving-delivery-transaction-fee. It is submitted to the source node
+/// by relayer.
+///
+/// So to be sure that any non-altruist relayer would agree to deliver message, submitter
+/// should set `delivery_and_dispatch_fee` to at least (equialent of): sum of fees from (2)
+/// to (4) above, plus some interest for the relayer.
+pub trait MessageDeliveryAndDispatchPayment<AccountId, Balance> {
+	/// Error type.
+	type Error: Debug + Into<&'static str>;
+
+	/// Withhold/write-off delivery_and_dispatch_fee from submitter account to
+	/// some relayers-fund account.
+	fn pay_delivery_and_dispatch_fee(submitter: &AccountId, fee: &Balance) -> Result<(), Self::Error>;
+}
diff --git a/bridges/primitives/message-lane/src/target_chain.rs b/bridges/primitives/message-lane/src/target_chain.rs
new file mode 100644
index 0000000000000..7287b26ae5713
--- /dev/null
+++ b/bridges/primitives/message-lane/src/target_chain.rs
@@ -0,0 +1,56 @@
+// Copyright 2019-2020 Parity Technologies (UK) Ltd.
+// This file is part of Parity Bridges Common.
+
+// Parity Bridges Common is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+
+// Parity Bridges Common is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with Parity Bridges Common.  If not, see <http://www.gnu.org/licenses/>.
+
+//! Primitives of message lane module, that are used on the target chain.
+
+use crate::Message;
+
+use frame_support::{weights::Weight, Parameter};
+use sp_std::{fmt::Debug, prelude::*};
+
+/// Source chain API. Used by target chain, to verify source chain proofs.
+///
+/// All implementations of this trait should only work with finalized data that
+/// can't change. Wrong implementation may lead to invalid lane states (i.e. lane
+/// that's stuck) and/or processing messages without paying fees.
+pub trait SourceHeaderChain<Payload, Fee> {
+	/// Error type.
+	type Error: Debug + Into<&'static str>;
+
+	/// Proof that messages are sent from source chain.
+	type MessagesProof: Parameter;
+
+	/// Verify messages proof and return proved messages.
+	///
+	/// Messages vector is required to be sorted by nonce within each lane. Out-of-order
+	/// messages will be rejected.
+	fn verify_messages_proof(proof: Self::MessagesProof) -> Result<Vec<Message<Payload, Fee>>, Self::Error>;
+}
+
+/// Called when inbound message is received.
+pub trait MessageDispatch<Payload, Fee> {
+	/// Estimate dispatch weight.
+	///
+	/// This function must: (1) be instant and (2) return correct upper bound
+	/// of dispatch weight.
+	fn dispatch_weight(message: &Message<Payload, Fee>) -> Weight;
+
+	/// Called when inbound message is received.
+	///
+	/// It is up to the implementers of this trait to determine whether the message
+	/// is invalid (i.e. improperly encoded, has too large weight, ...) or not.
+	fn dispatch(message: Message<Payload, Fee>);
+}
diff --git a/bridges/relays/messages-relay/src/message_lane.rs b/bridges/relays/messages-relay/src/message_lane.rs
index 8671451394eb1..9db30926a0ede 100644
--- a/bridges/relays/messages-relay/src/message_lane.rs
+++ b/bridges/relays/messages-relay/src/message_lane.rs
@@ -17,7 +17,7 @@
 //! One-way message lane types. Within single one-way lane we have three 'races' where we try to:
 //!
 //! 1) relay new messages from source to target node;
-//! 2) relay proof-of-receiving from target to source node.
+//! 2) relay proof-of-delivery from target to source node.
 
 use relay_utils::HeaderId;