diff --git a/Doc/library/asyncio-task.rst b/Doc/library/asyncio-task.rst
index 5b801aaf8ec..c0383331c1e 100644
--- a/Doc/library/asyncio-task.rst
+++ b/Doc/library/asyncio-task.rst
@@ -568,6 +568,10 @@ Task functions
    outer Future is *not* cancelled in this case.  (This is to prevent the
    cancellation of one child to cause other children to be cancelled.)
 
+   .. versionchanged:: 3.6.6
+      If the *gather* itself is cancelled, the cancellation is propagated
+      regardless of *return_exceptions*.
+
 .. function:: iscoroutine(obj)
 
    Return ``True`` if *obj* is a :ref:`coroutine object <coroutine>`,
diff --git a/Lib/asyncio/tasks.py b/Lib/asyncio/tasks.py
index a294dfbf5e5..4cd2c6ac6c7 100644
--- a/Lib/asyncio/tasks.py
+++ b/Lib/asyncio/tasks.py
@@ -548,6 +548,7 @@ class _GatheringFuture(futures.Future):
     def __init__(self, children, *, loop=None):
         super().__init__(loop=loop)
         self._children = children
+        self._cancel_requested = False
 
     def cancel(self):
         if self.done():
@@ -556,6 +557,11 @@ class _GatheringFuture(futures.Future):
         for child in self._children:
             if child.cancel():
                 ret = True
+        if ret:
+            # If any child tasks were actually cancelled, we should
+            # propagate the cancellation request regardless of
+            # *return_exceptions* argument.  See issue 32684.
+            self._cancel_requested = True
         return ret
 
 
@@ -636,7 +642,10 @@ def gather(*coros_or_futures, loop=None, return_exceptions=False):
         results[i] = res
         nfinished += 1
         if nfinished == nchildren:
-            outer.set_result(results)
+            if outer._cancel_requested:
+                outer.set_exception(futures.CancelledError())
+            else:
+                outer.set_result(results)
 
     for i, fut in enumerate(children):
         fut.add_done_callback(functools.partial(_done_callback, i))
diff --git a/Lib/test/test_asyncio/test_tasks.py b/Lib/test/test_asyncio/test_tasks.py
index f41160ba322..7c5187348bc 100644
--- a/Lib/test/test_asyncio/test_tasks.py
+++ b/Lib/test/test_asyncio/test_tasks.py
@@ -1991,7 +1991,7 @@ class BaseTaskTests:
     def test_cancel_wait_for(self):
         self._test_cancel_wait_for(60.0)
 
-    def test_cancel_gather(self):
+    def test_cancel_gather_1(self):
         """Ensure that a gathering future refuses to be cancelled once all
         children are done"""
         loop = asyncio.new_event_loop()
@@ -2021,6 +2021,33 @@ class BaseTaskTests:
         self.assertFalse(gather_task.cancelled())
         self.assertEqual(gather_task.result(), [42])
 
+    def test_cancel_gather_2(self):
+        loop = asyncio.new_event_loop()
+        self.addCleanup(loop.close)
+
+        async def test():
+            time = 0
+            while True:
+                time += 0.05
+                await asyncio.gather(asyncio.sleep(0.05, loop=loop),
+                                     return_exceptions=True,
+                                     loop=loop)
+                if time > 1:
+                    return
+
+        async def main():
+            qwe = self.new_task(loop, test())
+            await asyncio.sleep(0.2, loop=loop)
+            qwe.cancel()
+            try:
+                await qwe
+            except asyncio.CancelledError:
+                pass
+            else:
+                self.fail('gather did not propagate the cancellation request')
+
+        loop.run_until_complete(main())
+
     def test_exception_traceback(self):
         # See http://bugs.python.org/issue28843
 
diff --git a/Misc/NEWS.d/next/Library/2018-05-29-12-51-18.bpo-32684.ZEIism.rst b/Misc/NEWS.d/next/Library/2018-05-29-12-51-18.bpo-32684.ZEIism.rst
new file mode 100644
index 00000000000..b360bbcf799
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2018-05-29-12-51-18.bpo-32684.ZEIism.rst
@@ -0,0 +1 @@
+Fix gather to propagate cancellation of itself even with return_exceptions.