diff --git a/changelog.d/9947.feature b/changelog.d/9947.feature
new file mode 100644
index 0000000000..ce8874f810
--- /dev/null
+++ b/changelog.d/9947.feature
@@ -0,0 +1 @@
+Update support for [MSC2946](https://github.com/matrix-org/matrix-doc/pull/2946): Spaces Summary.
diff --git a/synapse/federation/transport/client.py b/synapse/federation/transport/client.py
index ada322a81e..497848a2b7 100644
--- a/synapse/federation/transport/client.py
+++ b/synapse/federation/transport/client.py
@@ -995,6 +995,7 @@ class TransportLayerClient:
                returned per space
             exclude_rooms: a list of any rooms we can skip
         """
+        # TODO When switching to the stable endpoint, use GET instead of POST.
         path = _create_path(
             FEDERATION_UNSTABLE_PREFIX, "/org.matrix.msc2946/spaces/%s", room_id
         )
diff --git a/synapse/federation/transport/server.py b/synapse/federation/transport/server.py
index a3759bdda1..e1b7462474 100644
--- a/synapse/federation/transport/server.py
+++ b/synapse/federation/transport/server.py
@@ -1376,6 +1376,32 @@ class FederationSpaceSummaryServlet(BaseFederationServlet):
     PREFIX = FEDERATION_UNSTABLE_PREFIX + "/org.matrix.msc2946"
     PATH = "/spaces/(?P<room_id>[^/]*)"
 
+    async def on_GET(
+        self,
+        origin: str,
+        content: JsonDict,
+        query: Mapping[bytes, Sequence[bytes]],
+        room_id: str,
+    ) -> Tuple[int, JsonDict]:
+        suggested_only = parse_boolean_from_args(query, "suggested_only", default=False)
+        max_rooms_per_space = parse_integer_from_args(query, "max_rooms_per_space")
+
+        exclude_rooms = []
+        if b"exclude_rooms" in query:
+            try:
+                exclude_rooms = [
+                    room_id.decode("ascii") for room_id in query[b"exclude_rooms"]
+                ]
+            except Exception:
+                raise SynapseError(
+                    400, "Bad query parameter for exclude_rooms", Codes.INVALID_PARAM
+                )
+
+        return 200, await self.handler.federation_space_summary(
+            room_id, suggested_only, max_rooms_per_space, exclude_rooms
+        )
+
+    # TODO When switching to the stable endpoint, remove the POST handler.
     async def on_POST(
         self,
         origin: str,
diff --git a/synapse/rest/client/v1/room.py b/synapse/rest/client/v1/room.py
index 5cab4d3c7b..51813cccbe 100644
--- a/synapse/rest/client/v1/room.py
+++ b/synapse/rest/client/v1/room.py
@@ -1020,6 +1020,7 @@ class RoomSpaceSummaryRestServlet(RestServlet):
             max_rooms_per_space=parse_integer(request, "max_rooms_per_space"),
         )
 
+    # TODO When switching to the stable endpoint, remove the POST handler.
     async def on_POST(
         self, request: SynapseRequest, room_id: str
     ) -> Tuple[int, JsonDict]: