diff --git a/trio/_path.py b/trio/_path.py
index 4b1bee16..7f777936 100644
--- a/trio/_path.py
+++ b/trio/_path.py
@@ -128,6 +128,28 @@ class Path(metaclass=AsyncAutoWrapperType):
 
         self._wrapped = pathlib.Path(*args)
 
+    async def iterdir(self):
+        """
+        Like :meth:`pathlib.Path.iterdir`, but async.
+
+        This is an async method that returns a synchronous iterator, so you
+        use it like::
+        
+           for subpath in await mypath.iterdir():
+               ...
+               
+        Note that it actually loads the whole directory list into memory
+        immediately, during the initial call. (See `issue #501
+        <https://github.com/python-trio/trio/issues/501>`__ for discussion.)
+        
+        """
+
+        def _load_items():
+            return list(self._wrapped.iterdir())
+
+        items = await trio.run_sync_in_worker_thread(_load_items)
+        return (Path(item) for item in items)
+
     def __getattr__(self, name):
         if name in self._forward:
             value = getattr(self._wrapped, name)

diff --git a/trio/tests/test_path.py b/trio/tests/test_path.py
index 6b9d1c15..1289cfa2 100644
--- a/trio/tests/test_path.py
+++ b/trio/tests/test_path.py
@@ -198,3 +198,17 @@ async def test_path_nonpath():
 async def test_open_file_can_open_path(path):
     async with await trio.open_file(path, 'w') as f:
         assert f.name == fspath(path)
+
+
+async def test_iterdir(path):
+    # Populate a directory
+    await path.mkdir()
+    await (path / 'foo').mkdir()
+    await (path / 'bar.txt').write_bytes(b'')
+
+    entries = set()
+    for entry in await path.iterdir():
+        assert isinstance(entry, trio.Path)
+        entries.add(entry.name)
+
+    assert entries == {'bar.txt', 'foo'}

trio.Path.iterdir wrapping is broken
Given `pathlib.Path.iterdir` returns a generator that does IO access on each iteration, `trio.Path.iterdir` is currently broken given it currently only generates the generator asynchronously (which I suppose is pointless given there is no need for IO at generator creation)

The solution would be to modify  `trio.Path.iterdir` to return an async generator, however this means creating a special case given the current implementation is only an async wrapper on `pathlib.Path.iterdir`.
trio/tests/test_path.py::test_iterdir
trio/tests/test_path.py::test_open_is_async_context_manager trio/tests/test_path.py::test_magic trio/tests/test_path.py::test_cmp_magic[Path-Path0] trio/tests/test_path.py::test_cmp_magic[Path-Path1] trio/tests/test_path.py::test_cmp_magic[Path-Path2] trio/tests/test_path.py::test_div_magic[Path-Path0] trio/tests/test_path.py::test_div_magic[Path-Path1] trio/tests/test_path.py::test_div_magic[Path-str] trio/tests/test_path.py::test_div_magic[str-Path] trio/tests/test_path.py::test_forwarded_properties trio/tests/test_path.py::test_async_method_signature trio/tests/test_path.py::test_compare_async_stat_methods[is_dir] trio/tests/test_path.py::test_compare_async_stat_methods[is_file] trio/tests/test_path.py::test_invalid_name_not_wrapped trio/tests/test_path.py::test_async_methods_rewrap[absolute] trio/tests/test_path.py::test_async_methods_rewrap[resolve] trio/tests/test_path.py::test_forward_methods_rewrap trio/tests/test_path.py::test_forward_properties_rewrap trio/tests/test_path.py::test_forward_methods_without_rewrap trio/tests/test_path.py::test_repr trio/tests/test_path.py::test_type_forwards_unsupported trio/tests/test_path.py::test_type_wraps_unsupported trio/tests/test_path.py::test_type_forwards_private trio/tests/test_path.py::test_type_wraps_private trio/tests/test_path.py::test_path_wraps_path[__init__] trio/tests/test_path.py::test_path_wraps_path[joinpath] trio/tests/test_path.py::test_path_nonpath trio/tests/test_path.py::test_open_file_can_open_path