diff --git a/src/main/java/io/reactivex/Completable.java b/src/main/java/io/reactivex/Completable.java
index 34008f1a0c..172e3caab6 100644
--- a/src/main/java/io/reactivex/Completable.java
+++ b/src/main/java/io/reactivex/Completable.java
@@ -1545,6 +1545,28 @@ public final Completable retry(long times) {
         return fromPublisher(toFlowable().retry(times));
     }
 
+    /**
+     * Returns a Completable that when this Completable emits an error, retries at most times
+     * or until the predicate returns false, whichever happens first and emitting the last error.
+     * <dl>
+     *  <dt><b>Scheduler:</b></dt>
+     *  <dd>{@code retry} does not operate by default on a particular {@link Scheduler}.</dd>
+     * </dl>
+     * @param times the number of times the returned Completable should retry this Completable
+     * @param predicate the predicate that is called with the latest throwable and should return
+     * true to indicate the returned Completable should resubscribe to this Completable.
+     * @return the new Completable instance
+     * @throws NullPointerException if predicate is null
+     * @throws IllegalArgumentException if times is negative
+     * @since 2.1.8 - experimental
+     */
+    @Experimental
+    @CheckReturnValue
+    @SchedulerSupport(SchedulerSupport.NONE)
+    public final Completable retry(long times, Predicate<? super Throwable> predicate) {
+        return fromPublisher(toFlowable().retry(times, predicate));
+    }
+
     /**
      * Returns a Completable that when this Completable emits an error, calls the given predicate with
      * the latest exception to decide whether to resubscribe to this or not.
diff --git a/src/main/java/io/reactivex/Single.java b/src/main/java/io/reactivex/Single.java
index 72ee2872c6..df59da1ff5 100644
--- a/src/main/java/io/reactivex/Single.java
+++ b/src/main/java/io/reactivex/Single.java
@@ -2649,6 +2649,26 @@ public final Single<T> retry(BiPredicate<? super Integer, ? super Throwable> pre
         return toSingle(toFlowable().retry(predicate));
     }
 
+    /**
+     * Repeatedly re-subscribe at most times or until the predicate returns false, whichever happens first
+     * if it fails with an onError.
+     * <dl>
+     * <dt><b>Scheduler:</b></dt>
+     * <dd>{@code retry} does not operate by default on a particular {@link Scheduler}.</dd>
+     * </dl>
+     * @param times the number of times to resubscribe if the current Single fails
+     * @param predicate the predicate called with the failure Throwable
+     *                  and should return true if a resubscription should happen
+     * @return the new Single instance
+     * @since 2.1.8 - experimental
+     */
+    @Experimental
+    @CheckReturnValue
+    @SchedulerSupport(SchedulerSupport.NONE)
+    public final Single<T> retry(long times, Predicate<? super Throwable> predicate) {
+        return toSingle(toFlowable().retry(times, predicate));
+    }
+
     /**
      * Re-subscribe to the current Single if the given predicate returns true when the Single fails
      * with an onError.
diff --git a/src/test/java/io/reactivex/ParamValidationCheckerTest.java b/src/test/java/io/reactivex/ParamValidationCheckerTest.java
index 5ad5afbd96..d129d14aa4 100644
--- a/src/test/java/io/reactivex/ParamValidationCheckerTest.java
+++ b/src/test/java/io/reactivex/ParamValidationCheckerTest.java
@@ -258,6 +258,7 @@ public void checkParallelFlowable() {
 
         // zero retry is allowed
         addOverride(new ParamOverride(Completable.class, 0, ParamMode.NON_NEGATIVE, "retry", Long.TYPE));
+        addOverride(new ParamOverride(Completable.class, 0, ParamMode.NON_NEGATIVE, "retry", Long.TYPE, Predicate.class));
 
         // negative time is considered as zero time
         addOverride(new ParamOverride(Completable.class, 0, ParamMode.ANY, "blockingGet", Long.TYPE, TimeUnit.class));
@@ -323,6 +324,7 @@ public void checkParallelFlowable() {
 
         // zero retry is allowed
         addOverride(new ParamOverride(Single.class, 0, ParamMode.NON_NEGATIVE, "retry", Long.TYPE));
+        addOverride(new ParamOverride(Single.class, 0, ParamMode.NON_NEGATIVE, "retry", Long.TYPE, Predicate.class));
 
         // negative time is considered as zero time
         addOverride(new ParamOverride(Single.class, 0, ParamMode.ANY, "delaySubscription", Long.TYPE, TimeUnit.class));
diff --git a/src/test/java/io/reactivex/completable/CompletableRetryTest.java b/src/test/java/io/reactivex/completable/CompletableRetryTest.java
new file mode 100644
index 0000000000..23619078bd
--- /dev/null
+++ b/src/test/java/io/reactivex/completable/CompletableRetryTest.java
@@ -0,0 +1,115 @@
+/**
+ * Copyright (c) 2017-present, RxJava Contributors.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in
+ * compliance with the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software distributed under the License is
+ * distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See
+ * the License for the specific language governing permissions and limitations under the License.
+ */
+
+package io.reactivex.completable;
+
+import io.reactivex.Completable;
+import io.reactivex.functions.Action;
+import io.reactivex.functions.Predicate;
+import io.reactivex.internal.functions.Functions;
+import java.util.concurrent.atomic.AtomicInteger;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+
+public class CompletableRetryTest {
+    @Test
+    public void retryTimesPredicateWithMatchingPredicate() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Completable.fromAction(new Action() {
+            @Override public void run() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                throw new IllegalArgumentException();
+            }
+        })
+            .retry(Integer.MAX_VALUE, new Predicate<Throwable>() {
+                @Override public boolean test(final Throwable throwable) throws Exception {
+                    return !(throwable instanceof IllegalArgumentException);
+                }
+            })
+            .test()
+            .assertFailure(IllegalArgumentException.class);
+
+        assertEquals(3, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithMatchingRetryAmount() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Completable.fromAction(new Action() {
+            @Override public void run() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+            }
+        })
+            .retry(2, Functions.alwaysTrue())
+            .test()
+            .assertResult();
+
+        assertEquals(3, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithNotMatchingRetryAmount() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Completable.fromAction(new Action() {
+            @Override public void run() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+            }
+        })
+            .retry(1, Functions.alwaysTrue())
+            .test()
+            .assertFailure(RuntimeException.class);
+
+        assertEquals(2, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithZeroRetries() {
+        final AtomicInteger atomicInteger = new AtomicInteger(2);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Completable.fromAction(new Action() {
+            @Override public void run() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+            }
+        })
+            .retry(0, Functions.alwaysTrue())
+            .test()
+            .assertFailure(RuntimeException.class);
+
+        assertEquals(1, numberOfSubscribeCalls.get());
+    }
+}
diff --git a/src/test/java/io/reactivex/maybe/MaybeRetryTest.java b/src/test/java/io/reactivex/maybe/MaybeRetryTest.java
new file mode 100644
index 0000000000..0749da742d
--- /dev/null
+++ b/src/test/java/io/reactivex/maybe/MaybeRetryTest.java
@@ -0,0 +1,121 @@
+/**
+ * Copyright (c) 2017-present, RxJava Contributors.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in
+ * compliance with the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software distributed under the License is
+ * distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See
+ * the License for the specific language governing permissions and limitations under the License.
+ */
+
+package io.reactivex.maybe;
+
+import io.reactivex.Maybe;
+import io.reactivex.functions.Predicate;
+import io.reactivex.internal.functions.Functions;
+import java.util.concurrent.Callable;
+import java.util.concurrent.atomic.AtomicInteger;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+
+public class MaybeRetryTest {
+    @Test
+    public void retryTimesPredicateWithMatchingPredicate() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Maybe.fromCallable(new Callable<Boolean>() {
+            @Override public Boolean call() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                throw new IllegalArgumentException();
+            }
+        })
+            .retry(Integer.MAX_VALUE, new Predicate<Throwable>() {
+                @Override public boolean test(final Throwable throwable) throws Exception {
+                    return !(throwable instanceof IllegalArgumentException);
+                }
+            })
+            .test()
+            .assertFailure(IllegalArgumentException.class);
+
+        assertEquals(3, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithMatchingRetryAmount() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Maybe.fromCallable(new Callable<Boolean>() {
+            @Override public Boolean call() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                return true;
+            }
+        })
+            .retry(2, Functions.alwaysTrue())
+            .test()
+            .assertResult(true);
+
+        assertEquals(3, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithNotMatchingRetryAmount() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Maybe.fromCallable(new Callable<Boolean>() {
+            @Override public Boolean call() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                return true;
+            }
+        })
+            .retry(1, Functions.alwaysTrue())
+            .test()
+            .assertFailure(RuntimeException.class);
+
+        assertEquals(2, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithZeroRetries() {
+        final AtomicInteger atomicInteger = new AtomicInteger(2);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Maybe.fromCallable(new Callable<Boolean>() {
+            @Override public Boolean call() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                return true;
+            }
+        })
+            .retry(0, Functions.alwaysTrue())
+            .test()
+            .assertFailure(RuntimeException.class);
+
+        assertEquals(1, numberOfSubscribeCalls.get());
+    }
+}
diff --git a/src/test/java/io/reactivex/single/SingleRetryTest.java b/src/test/java/io/reactivex/single/SingleRetryTest.java
new file mode 100644
index 0000000000..c37f877f03
--- /dev/null
+++ b/src/test/java/io/reactivex/single/SingleRetryTest.java
@@ -0,0 +1,121 @@
+/**
+ * Copyright (c) 2017-present, RxJava Contributors.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in
+ * compliance with the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software distributed under the License is
+ * distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See
+ * the License for the specific language governing permissions and limitations under the License.
+ */
+
+package io.reactivex.single;
+
+import io.reactivex.Single;
+import io.reactivex.functions.Predicate;
+import io.reactivex.internal.functions.Functions;
+import java.util.concurrent.Callable;
+import java.util.concurrent.atomic.AtomicInteger;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+
+public class SingleRetryTest {
+    @Test
+    public void retryTimesPredicateWithMatchingPredicate() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Single.fromCallable(new Callable<Boolean>() {
+            @Override public Boolean call() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                throw new IllegalArgumentException();
+            }
+        })
+            .retry(Integer.MAX_VALUE, new Predicate<Throwable>() {
+                @Override public boolean test(final Throwable throwable) throws Exception {
+                    return !(throwable instanceof IllegalArgumentException);
+                }
+            })
+            .test()
+            .assertFailure(IllegalArgumentException.class);
+
+        assertEquals(3, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithMatchingRetryAmount() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Single.fromCallable(new Callable<Boolean>() {
+            @Override public Boolean call() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                return true;
+            }
+        })
+            .retry(2, Functions.alwaysTrue())
+            .test()
+            .assertResult(true);
+
+        assertEquals(3, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithNotMatchingRetryAmount() {
+        final AtomicInteger atomicInteger = new AtomicInteger(3);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Single.fromCallable(new Callable<Boolean>() {
+            @Override public Boolean call() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                return true;
+            }
+        })
+            .retry(1, Functions.alwaysTrue())
+            .test()
+            .assertFailure(RuntimeException.class);
+
+        assertEquals(2, numberOfSubscribeCalls.get());
+    }
+
+    @Test
+    public void retryTimesPredicateWithZeroRetries() {
+        final AtomicInteger atomicInteger = new AtomicInteger(2);
+        final AtomicInteger numberOfSubscribeCalls = new AtomicInteger(0);
+
+        Single.fromCallable(new Callable<Boolean>() {
+            @Override public Boolean call() throws Exception {
+                numberOfSubscribeCalls.incrementAndGet();
+
+                if (atomicInteger.decrementAndGet() != 0) {
+                    throw new RuntimeException();
+                }
+
+                return true;
+            }
+        })
+            .retry(0, Functions.alwaysTrue())
+            .test()
+            .assertFailure(RuntimeException.class);
+
+        assertEquals(1, numberOfSubscribeCalls.get());
+    }
+}