diff --git a/compose/project.py b/compose/project.py
index c3283db982..f0b4f1c68e 100644
--- a/compose/project.py
+++ b/compose/project.py
@@ -276,7 +276,7 @@ class Project(object):
     def down(self, remove_image_type, include_volumes, remove_orphans=False):
         self.stop()
         self.find_orphan_containers(remove_orphans)
-        self.remove_stopped(v=include_volumes)
+        self.remove_stopped(v=include_volumes, one_off=OneOffFilter.include)
 
         self.networks.remove()
 
diff --git a/tests/acceptance/cli_test.py b/tests/acceptance/cli_test.py
index 382fa8870d..1535150236 100644
--- a/tests/acceptance/cli_test.py
+++ b/tests/acceptance/cli_test.py
@@ -366,14 +366,19 @@ class CLITestCase(DockerClientTestCase):
     @v2_only()
     def test_down(self):
         self.base_dir = 'tests/fixtures/v2-full'
+
         self.dispatch(['up', '-d'])
         wait_on_condition(ContainerCountCondition(self.project, 2))
 
+        self.dispatch(['run', 'web', 'true'])
+        assert len(self.project.containers(one_off=OneOffFilter.only, stopped=True)) == 1
+
         result = self.dispatch(['down', '--rmi=local', '--volumes'])
         assert 'Stopping v2full_web_1' in result.stderr
         assert 'Stopping v2full_other_1' in result.stderr
         assert 'Removing v2full_web_1' in result.stderr
         assert 'Removing v2full_other_1' in result.stderr
+        assert 'Removing v2full_web_run_1' in result.stderr
         assert 'Removing volume v2full_data' in result.stderr
         assert 'Removing image v2full_web' in result.stderr
         assert 'Removing image busybox' not in result.stderr