diff --git a/packages/@aws-cdk/aws-pipes-targets-alpha/README.md b/packages/@aws-cdk/aws-pipes-targets-alpha/README.md
index 868e011170c67..f9b5e1994983d 100644
--- a/packages/@aws-cdk/aws-pipes-targets-alpha/README.md
+++ b/packages/@aws-cdk/aws-pipes-targets-alpha/README.md
@@ -32,6 +32,7 @@ The following targets are supported:
 1. `targets.SqsTarget`: [Send event source to a Queue](#amazon-sqs)
 2. `targets.SfnStateMachine`: [Invoke a State Machine from an event source](#aws-step-functions-state-machine)
 3. `targets.LambdaFunction`: [Send event source to a Lambda Function](#aws-lambda-function)
+3. `targets.CloudWatchLogsTarget`: [Send event source to a CloudWatch Logs log group](#amazon-cloudwatch-logs-log-group)
 
 ### Amazon SQS
 
diff --git a/packages/@aws-cdk/aws-pipes-targets-alpha/lib/cloudwatch-logs.ts b/packages/@aws-cdk/aws-pipes-targets-alpha/lib/cloudwatch-logs.ts
index ee17f834cc6f0..8a5a0b49b216f 100644
--- a/packages/@aws-cdk/aws-pipes-targets-alpha/lib/cloudwatch-logs.ts
+++ b/packages/@aws-cdk/aws-pipes-targets-alpha/lib/cloudwatch-logs.ts
@@ -1,6 +1,7 @@
 import { IInputTransformation, IPipe, ITarget, TargetConfig } from '@aws-cdk/aws-pipes-alpha';
 import { IRole } from 'aws-cdk-lib/aws-iam';
 import { ILogGroup } from 'aws-cdk-lib/aws-logs';
+import { Token } from 'aws-cdk-lib';
 
 /**
  * CloudWatch Logs target properties.
@@ -75,7 +76,7 @@ export class CloudWatchLogsTarget implements ITarget {
 }
 
 function validateLogStreamName({ logStreamName }: CloudWatchLogsTargetParameters) {
-  if (logStreamName !== undefined) {
+  if (logStreamName !== undefined && !Token.isUnresolved(logStreamName)) {
     if (logStreamName.length < 1 || logStreamName.length > 256) {
       throw new Error(`Log stream name must be between 1 and 256 characters, received ${logStreamName.length}`);
     }
@@ -83,7 +84,7 @@ function validateLogStreamName({ logStreamName }: CloudWatchLogsTargetParameters
 }
 
 function validateTimestamp({ timestamp }: CloudWatchLogsTargetParameters) {
-  if (timestamp !== undefined) {
+  if (timestamp !== undefined && !Token.isUnresolved(timestamp)) {
     if (timestamp.length < 1 || timestamp.length > 256) {
       throw new Error(`Timestamp must be between 1 and 256 characters, received ${timestamp.length}`);
     }
diff --git a/packages/@aws-cdk/aws-pipes-targets-alpha/test/cloudwatch-logs.test.ts b/packages/@aws-cdk/aws-pipes-targets-alpha/test/cloudwatch-logs.test.ts
index 2e523919fca47..32ee94153617b 100644
--- a/packages/@aws-cdk/aws-pipes-targets-alpha/test/cloudwatch-logs.test.ts
+++ b/packages/@aws-cdk/aws-pipes-targets-alpha/test/cloudwatch-logs.test.ts
@@ -1,6 +1,6 @@
 
 import { InputTransformation, Pipe } from '@aws-cdk/aws-pipes-alpha';
-import { App, Stack } from 'aws-cdk-lib';
+import { App, Lazy, Stack } from 'aws-cdk-lib';
 import { Template } from 'aws-cdk-lib/assertions';
 import { LogGroup } from 'aws-cdk-lib/aws-logs';
 import { TestSource } from './test-classes';
@@ -143,6 +143,38 @@ describe('CloudWatch Logs source parameters validation', () => {
     }).toThrow('Log stream name must be between 1 and 256 characters, received 257');
   });
 
+  test('validateLogStreamName works with a token', () => {
+    // GIVEN
+    const app = new App();
+    const stack = new Stack(app, 'TestStack');
+    const logGroup = new LogGroup(stack, 'MyLogGroup', {});
+    const logStreamName = Lazy.string({ produce: () => 'log-stream-name' });
+    const target = new CloudWatchLogsTarget(logGroup, {logStreamName});
+
+    new Pipe(stack, 'MyPipe', {
+      source: new TestSource(),
+      target,
+    });
+
+    // ACT
+    const template = Template.fromStack(stack);
+
+    // ASSERT
+    template.hasResourceProperties('AWS::Pipes::Pipe', {
+      Target: {
+        'Fn::GetAtt': [
+          'MyLogGroup5C0DAD85',
+          'Arn',
+        ],
+      },
+      TargetParameters: {
+        CloudWatchLogsParameters: {
+          LogStreamName: 'log-stream-name',
+        },
+      },
+    });
+  });
+
   test('Timestamp must be >= 1 character', () => {
     // GIVEN
     const app = new App();
@@ -170,4 +202,36 @@ describe('CloudWatch Logs source parameters validation', () => {
       });
     }).toThrow('Timestamp must be between 1 and 256 characters, received 257');
   });
+
+  test('validateTimestamp works with a token', () => {
+    // GIVEN
+    const app = new App();
+    const stack = new Stack(app, 'TestStack');
+    const logGroup = new LogGroup(stack, 'MyLogGroup', {});
+    const timestamp = Lazy.string({ produce: () => 'timestamp' });
+    const target = new CloudWatchLogsTarget(logGroup, {timestamp});
+
+    new Pipe(stack, 'MyPipe', {
+      source: new TestSource(),
+      target,
+    });
+
+    // ACT
+    const template = Template.fromStack(stack);
+
+    // ASSERT
+    template.hasResourceProperties('AWS::Pipes::Pipe', {
+      Target: {
+        'Fn::GetAtt': [
+          'MyLogGroup5C0DAD85',
+          'Arn',
+        ],
+      },
+      TargetParameters: {
+        CloudWatchLogsParameters: {
+          Timestamp: 'timestamp',
+        },
+      },
+    });
+  });
 });