diff --git a/docs/source/cookbook.rst b/docs/source/cookbook.rst
index 4213b97b..82281bea 100644
--- a/docs/source/cookbook.rst
+++ b/docs/source/cookbook.rst
@@ -144,6 +144,16 @@ call |pipeline_get_results|::
   for res in pipe.get_results(block=True):
       ...
 
+If you want the actors in the pipeline to keep executing even if
+a actor in it errors out, use the ``pipe_ignore_exception`` option::
+
+  (
+      throws_exception.message(pipe_ignore_exception=True) |
+      will_still_run.message()
+  )
+
+Note that if the ``may_fail`` actor throws an exception,
+the ``will_still_run`` actor will receive ``None`` as input.
 
 Error Reporting
 ---------------
diff --git a/dramatiq/middleware/pipelines.py b/dramatiq/middleware/pipelines.py
index eb2ea9e2..85bef088 100644
--- a/dramatiq/middleware/pipelines.py
+++ b/dramatiq/middleware/pipelines.py
@@ -25,6 +25,8 @@ class Pipelines(Middleware):
     Parameters:
       pipe_ignore(bool): When True, ignores the result of the previous
         actor in the pipeline.
+      pipe_ignore_exception(bool): When True, ignores the fact that the previous
+        actor in the pipeline threw an exception and runs anyway.
       pipe_target(dict): A message representing the actor the current
         result should be fed into.
     """
@@ -33,6 +35,7 @@ class Pipelines(Middleware):
     def actor_options(self):
         return {
             "pipe_ignore",
+            "pipe_ignore_exception",
             "pipe_target",
         }
 
@@ -42,10 +45,12 @@ def after_process_message(self, broker, message, *, result=None, exception=None)
         # from broker -> pipelines -> messages -> broker.
         from ..message import Message
 
-        if exception is not None or message.failed:
+        actor = broker.get_actor(message.actor_name)
+
+        ignore_exception = message.options.get("pipe_ignore_exception") or actor.options.get("pipe_ignore_exception")
+        if message.failed or (exception is not None and not ignore_exception):
             return
 
-        actor = broker.get_actor(message.actor_name)
         message_data = message.options.get("pipe_target")
         if message_data is not None:
             next_message = Message(**message_data)
diff --git a/tests/test_composition.py b/tests/test_composition.py
index 2fed053d..fa378883 100644
--- a/tests/test_composition.py
+++ b/tests/test_composition.py
@@ -298,6 +298,59 @@ def should_never_run():
     assert not has_run
 
 
+def test_pipeline_does_continue_to_next_actor_when_ignore_exception_is_set_and_message_threw_an_exception(stub_broker, stub_worker):
+    has_run = False
+
+    @dramatiq.actor
+    def throw_something():
+        raise ValueError("something")
+
+    @dramatiq.actor
+    def should_run():
+        nonlocal has_run
+        has_run = True
+
+    # When I pipe some messages intended for that actor together and run the pipeline
+    pipe = throw_something.message_with_options(pipe_ignore_exception=True) | should_run.message_with_options(pipe_ignore=True)
+    pipe.run()
+
+    stub_broker.join(should_run.queue_name, timeout=10 * 1000)
+    stub_worker.join()
+
+    # Then the second message in the pipe should have run
+    assert has_run
+
+
+def test_pipeline_does_not_continue_to_next_actor_when_ignore_exception_is_set_and_message_is_marked_as_failed(stub_broker, stub_worker):
+    # Given that I have an actor that fails messages
+    class FailMessageMiddleware(middleware.Middleware):
+        def after_process_message(self, broker, message, *, result=None, exception=None):
+            message.fail()
+
+    stub_broker.add_middleware(FailMessageMiddleware())
+
+    has_run = False
+
+    @dramatiq.actor
+    def do_nothing():
+        pass
+
+    @dramatiq.actor
+    def should_run():
+        nonlocal has_run
+        has_run = True
+
+    # When I pipe some messages intended for that actor together and run the pipeline
+    pipe = do_nothing.message_with_options(pipe_ignore_exception=True) | should_run.message_with_options(pipe_ignore=True)
+    pipe.run()
+
+    stub_broker.join(should_run.queue_name, timeout=10 * 1000)
+    stub_worker.join()
+
+    # Then the second message in the pipe should not have run
+    assert not has_run
+
+
 def test_pipeline_respects_own_delay(stub_broker, stub_worker, result_backend):
     # Given a result backend
     # And a broker with the results middleware