diff --git a/akka-stream-tests/src/test/java/akka/stream/javadsl/SourceTest.java b/akka-stream-tests/src/test/java/akka/stream/javadsl/SourceTest.java
index 9835abce67..3dc8c2788f 100644
--- a/akka-stream-tests/src/test/java/akka/stream/javadsl/SourceTest.java
+++ b/akka-stream-tests/src/test/java/akka/stream/javadsl/SourceTest.java
@@ -36,6 +36,7 @@ import java.util.concurrent.CompletionStage;
 import java.util.concurrent.ExecutionException;
 import java.util.concurrent.TimeUnit;
 import java.util.concurrent.TimeoutException;
+import java.util.stream.IntStream;
 import java.util.stream.Stream;
 
 import static akka.NotUsed.notUsed;
@@ -1184,4 +1185,27 @@ public class SourceTest extends StreamTest {
         new Boolean[] {false, true, false, true, false, true, false, true, false, true},
         future.get(1, TimeUnit.SECONDS).toArray());
   }
+
+  @Test
+  public void mustRunSourceAndIgnoreElementsItOutputsAndOnlySignalTheCompletion() {
+    final Iterator<Integer> iterator = IntStream.range(1, 10).iterator();
+    final Creator<Iterator<Integer>> input = () -> iterator;
+    final Done completion =
+        Source.fromIterator(input).map(it -> it * 10).run(system).toCompletableFuture().join();
+    assertEquals(completion, Done.getInstance());
+  }
+
+  @Test
+  public void mustRunSourceAndIgnoreElementsItOutputsAndOnlySignalTheCompletionWithMaterializer() {
+    final Materializer materializer = Materializer.createMaterializer(system);
+    final Iterator<Integer> iterator = IntStream.range(1, 10).iterator();
+    final Creator<Iterator<Integer>> input = () -> iterator;
+    final Done completion =
+        Source.fromIterator(input)
+            .map(it -> it * 10)
+            .run(materializer)
+            .toCompletableFuture()
+            .join();
+    assertEquals(completion, Done.getInstance());
+  }
 }
diff --git a/akka-stream-tests/src/test/scala/akka/stream/scaladsl/FlowCompileSpec.scala b/akka-stream-tests/src/test/scala/akka/stream/scaladsl/FlowCompileSpec.scala
index 512a4b8c8e..7ee329e20e 100644
--- a/akka-stream-tests/src/test/scala/akka/stream/scaladsl/FlowCompileSpec.scala
+++ b/akka-stream-tests/src/test/scala/akka/stream/scaladsl/FlowCompileSpec.scala
@@ -39,8 +39,6 @@ class FlowCompileSpec extends StreamSpec {
       "open3.run()" shouldNot compile
 
       val closedSource: Source[Int, _] = intSeq.via(open3)
-      "closedSource.run()" shouldNot compile
-
       val closedSink: Sink[Int, _] = open3.to(Sink.asPublisher[Int](false))
       "closedSink.run()" shouldNot compile
 
@@ -59,7 +57,6 @@ class FlowCompileSpec extends StreamSpec {
       val open: Flow[Int, String, _] = Flow[Int].map(_.toString)
       val closedSource: Source[Int, _] = strSeq.via(Flow[String].map(_.hashCode))
       val closedSource2: Source[String, _] = closedSource.via(open)
-      "closedSource2.run()" shouldNot compile
       "strSeq.to(closedSource2)" shouldNot compile
       closedSource2.to(Sink.asPublisher[String](false)).run
     }
@@ -88,9 +85,6 @@ class FlowCompileSpec extends StreamSpec {
     "not be accepted by Source" in {
       "openSource.to(intSeq)" shouldNot compile
     }
-    "not run()" in {
-      "openSource.run()" shouldNot compile
-    }
   }
 
   "RunnableGraph" should {
diff --git a/akka-stream-tests/src/test/scala/akka/stream/scaladsl/SourceSpec.scala b/akka-stream-tests/src/test/scala/akka/stream/scaladsl/SourceSpec.scala
index bbd25039d2..6d2364cf1f 100644
--- a/akka-stream-tests/src/test/scala/akka/stream/scaladsl/SourceSpec.scala
+++ b/akka-stream-tests/src/test/scala/akka/stream/scaladsl/SourceSpec.scala
@@ -368,6 +368,12 @@ class SourceSpec extends StreamSpec with DefaultTimeout {
     }
   }
 
+  "A Source.run" must {
+    "ignore elements it outputs and only signal the completion of the processing" in {
+      Source.fromIterator(() => (1 to 5).toIterator).map(_ * 10).run().futureValue shouldBe Done
+    }
+  }
+
   "Source pre-materialization" must {
 
     "materialize the source and connect it to a publisher" in {
diff --git a/akka-stream/src/main/scala/akka/stream/javadsl/Source.scala b/akka-stream/src/main/scala/akka/stream/javadsl/Source.scala
index 3efcc013bb..2113d68a28 100755
--- a/akka-stream/src/main/scala/akka/stream/javadsl/Source.scala
+++ b/akka-stream/src/main/scala/akka/stream/javadsl/Source.scala
@@ -929,6 +929,24 @@ final class Source[Out, Mat](delegate: scaladsl.Source[Out, Mat]) extends Graph[
   def toMat[M, M2](sink: Graph[SinkShape[Out], M], combine: function.Function2[Mat, M, M2]): javadsl.RunnableGraph[M2] =
     RunnableGraph.fromGraph(delegate.toMat(sink)(combinerToScala(combine)))
 
+  /**
+   * Connect this `Source` to the `Sink.ignore` and run it. Elements from the stream will be consumed and discarded.
+   *
+   * Note that the `ActorSystem` can be used as the `materializer` parameter to use the
+   * [[akka.stream.SystemMaterializer]] for running the stream.
+   */
+  def run(materializer: Materializer): CompletionStage[Done] =
+    delegate.run()(materializer).toJava
+
+  /**
+   * Connect this `Source` to the `Sink.ignore` and run it. Elements from the stream will be consumed and discarded.
+   *
+   * Note that the `ActorSystem` can be used as the `systemProvider` parameter to use the
+   * [[akka.stream.SystemMaterializer]] for running the stream.
+   */
+  def run(systemProvider: ClassicActorSystemProvider): CompletionStage[Done] =
+    delegate.run()(SystemMaterializer(systemProvider.classicSystem).materializer).toJava
+
   /**
    * Connect this `Source` to a `Sink` and run it. The returned value is the materialized value
    * of the `Sink`, e.g. the `Publisher` of a `Sink.asPublisher`.
diff --git a/akka-stream/src/main/scala/akka/stream/scaladsl/Source.scala b/akka-stream/src/main/scala/akka/stream/scaladsl/Source.scala
index 7fa1ae4fa8..170303c022 100644
--- a/akka-stream/src/main/scala/akka/stream/scaladsl/Source.scala
+++ b/akka-stream/src/main/scala/akka/stream/scaladsl/Source.scala
@@ -98,6 +98,15 @@ final class Source[+Out, +Mat](
     (mat, Source.fromPublisher(pub))
   }
 
+  /**
+   * Connect this `Source` to the `Sink.ignore` and run it. Elements from the stream will be consumed and discarded.
+   *
+   * Note that the `ActorSystem` can be used as the implicit `materializer` parameter to use the
+   * [[akka.stream.SystemMaterializer]] for running the stream.
+   */
+  def run()(implicit materializer: Materializer): Future[Done] =
+    toMat(Sink.ignore)(Keep.right).run()
+
   /**
    * Connect this `Source` to a `Sink` and run it. The returned value is the materialized value
    * of the `Sink`, e.g. the `Publisher` of a [[akka.stream.scaladsl.Sink#publisher]].