diff --git a/trio/__init__.py b/trio/__init__.py
index d66ffceea9..8c56b8b5b8 100644
--- a/trio/__init__.py
+++ b/trio/__init__.py
@@ -60,6 +60,7 @@
     open_memory_channel,
     MemorySendChannel,
     MemoryReceiveChannel,
+    StapledMemoryChannel,
 )
 
 from ._signals import open_signal_receiver
diff --git a/trio/_channel.py b/trio/_channel.py
index dac7935c0c..26e0ac3483 100644
--- a/trio/_channel.py
+++ b/trio/_channel.py
@@ -5,7 +5,7 @@
 from outcome import Error, Value
 
 from .abc import SendChannel, ReceiveChannel, Channel
-from ._util import generic_function, NoPublicConstructor
+from ._util import generic_function, NoPublicConstructor, Final
 
 import trio
 from ._core import enable_ki_protection
@@ -344,3 +344,65 @@ async def aclose(self):
             self._state.send_tasks.clear()
             self._state.data.clear()
         await trio.lowlevel.checkpoint()
+
+
+@attr.s(auto_attribs=True, eq=False, hash=False)
+class StapledMemoryChannel(Channel, metaclass=Final):
+    """This class `staples <https://en.wikipedia.org/wiki/Staple_(fastener)>`__
+    together two memory channel halves to make a bidirectional channel.
+
+    Args:
+      send_channel (~trio.MemorySendChannel): The channel to use for sending.
+      receive_channel (~trio.MemoryReceiveChannel): The channel to use for
+          receiving.
+
+    Example:
+
+       The channel halves from :function:~trio.open_memory_channel can
+       be bound together and accessed by a simple API::
+
+          channel = StapledMemoryChannel(*open_memory_channel(1))
+          await channel.send("x")
+          assert await channel.receive() == "x"
+
+    :class:`StapledMemoryChannel` objects implement the methods in the
+    :class:`~trio.abc.Channel` interface, as well as the "nowait" variants
+    of send and receive. They also have two additional public attributes:
+
+    .. attribute:: send_channel
+
+       The underlying :class:`~trio.MemorySendChannel`. :meth:`send` and
+       :meth:`send_nowait` are delegated to this object.
+
+    .. attribute:: receive_channel
+
+       The underlying :class:`~trio.MemoryReceiveChannel`. :meth:`receive()`
+       and :meth:`receive_nowait` are delegated to this object.
+
+    """
+
+    send_channel: MemorySendChannel
+    receive_channel: MemoryReceiveChannel
+
+    async def send(self, value):
+        """Calls ``self.send_channel.send``."""
+        await self.send_channel.send(value)
+
+    def send_nowait(self, value):
+        """Calls ``self.send_channel.send_nowait``."""
+        self.send_channel.send_nowait(value)
+
+    async def receive(self):
+        """Calls ``self.receive_channel.receive``."""
+        return await self.receive_channel.receive()
+
+    def receive_nowait(self):
+        """Calls ``self.receive_channel.receive_nowait``."""
+        return self.receive_channel.receive_nowait()
+
+    async def aclose(self):
+        """Calls ``aclose`` on both underlying channels."""
+        try:
+            await self.send_channel.aclose()
+        finally:
+            await self.receive_channel.aclose()
diff --git a/trio/tests/test_channel.py b/trio/tests/test_channel.py
index b43466dd7d..01f8366cbf 100644
--- a/trio/tests/test_channel.py
+++ b/trio/tests/test_channel.py
@@ -1,8 +1,9 @@
 import pytest
 
+from .._abc import Channel
 from ..testing import wait_all_tasks_blocked, assert_checkpoints
 import trio
-from trio import open_memory_channel, EndOfChannel
+from trio import open_memory_channel, EndOfChannel, StapledMemoryChannel
 
 
 async def test_channel():
@@ -350,3 +351,26 @@ async def do_send(s, v):
             assert await r.receive() == 1
     with pytest.raises(trio.WouldBlock):
         r.receive_nowait()
+
+
+async def test_stapled_memory_channel():
+    assert issubclass(StapledMemoryChannel, Channel)
+    stapled = StapledMemoryChannel(*open_memory_channel(0))
+
+    async with trio.open_nursery() as nursery:
+
+        @nursery.start_soon
+        async def _listener():
+            assert await stapled.receive() == 10
+
+        await wait_all_tasks_blocked()
+        await stapled.send(10)
+
+    with pytest.raises(trio.WouldBlock):
+        stapled.send_nowait(10)
+    with pytest.raises(trio.WouldBlock):
+        stapled.receive_nowait()
+
+    assert not (stapled.send_channel._closed or stapled.receive_channel._closed)
+    await stapled.aclose()
+    assert stapled.send_channel._closed and stapled.receive_channel._closed