diff --git a/changelog.d/11737.bugfix b/changelog.d/11737.bugfix
new file mode 100644
index 0000000000..a293d1cfec
--- /dev/null
+++ b/changelog.d/11737.bugfix
@@ -0,0 +1 @@
+Make the list rooms admin api sort stable. Contributed by Daniël Sonck.
\ No newline at end of file
diff --git a/synapse/storage/databases/main/room.py b/synapse/storage/databases/main/room.py
index c0e837854a..95167116c9 100644
--- a/synapse/storage/databases/main/room.py
+++ b/synapse/storage/databases/main/room.py
@@ -551,24 +551,24 @@ class RoomWorkerStore(CacheInvalidationWorkerStore):
             FROM room_stats_state state
             INNER JOIN room_stats_current curr USING (room_id)
             INNER JOIN rooms USING (room_id)
-            %s
-            ORDER BY %s %s
+            {where}
+            ORDER BY {order_by} {direction}, state.room_id {direction}
             LIMIT ?
             OFFSET ?
-        """ % (
-            where_statement,
-            order_by_column,
-            "ASC" if order_by_asc else "DESC",
+        """.format(
+            where=where_statement,
+            order_by=order_by_column,
+            direction="ASC" if order_by_asc else "DESC",
         )
 
         # Use a nested SELECT statement as SQL can't count(*) with an OFFSET
         count_sql = """
             SELECT count(*) FROM (
               SELECT room_id FROM room_stats_state state
-              %s
+              {where}
             ) AS get_room_ids
-        """ % (
-            where_statement,
+        """.format(
+            where=where_statement,
         )
 
         def _get_rooms_paginate_txn(
diff --git a/tests/rest/admin/test_room.py b/tests/rest/admin/test_room.py
index d2c8781cd4..3495a0366a 100644
--- a/tests/rest/admin/test_room.py
+++ b/tests/rest/admin/test_room.py
@@ -1089,6 +1089,8 @@ class RoomTestCase(unittest.HomeserverTestCase):
             )
             room_ids.append(room_id)
 
+        room_ids.sort()
+
         # Request the list of rooms
         url = "/_synapse/admin/v1/rooms"
         channel = self.make_request(
@@ -1360,6 +1362,12 @@ class RoomTestCase(unittest.HomeserverTestCase):
         room_id_2 = self.helper.create_room_as(self.admin_user, tok=self.admin_user_tok)
         room_id_3 = self.helper.create_room_as(self.admin_user, tok=self.admin_user_tok)
 
+        # Also create a list sorted by IDs for properties that are equal (and thus sorted by room_id)
+        sorted_by_room_id_asc = [room_id_1, room_id_2, room_id_3]
+        sorted_by_room_id_asc.sort()
+        sorted_by_room_id_desc = sorted_by_room_id_asc.copy()
+        sorted_by_room_id_desc.reverse()
+
         # Set room names in alphabetical order. room 1 -> A, 2 -> B, 3 -> C
         self.helper.send_state(
             room_id_1,
@@ -1405,41 +1413,42 @@ class RoomTestCase(unittest.HomeserverTestCase):
         _order_test("canonical_alias", [room_id_1, room_id_2, room_id_3])
         _order_test("canonical_alias", [room_id_3, room_id_2, room_id_1], reverse=True)
 
+        # Note: joined_member counts are sorted in descending order when dir=f
         _order_test("joined_members", [room_id_3, room_id_2, room_id_1])
         _order_test("joined_members", [room_id_1, room_id_2, room_id_3], reverse=True)
 
+        # Note: joined_local_member counts are sorted in descending order when dir=f
         _order_test("joined_local_members", [room_id_3, room_id_2, room_id_1])
         _order_test(
             "joined_local_members", [room_id_1, room_id_2, room_id_3], reverse=True
         )
 
-        _order_test("version", [room_id_1, room_id_2, room_id_3])
-        _order_test("version", [room_id_1, room_id_2, room_id_3], reverse=True)
+        # Note: versions are sorted in descending order when dir=f
+        _order_test("version", sorted_by_room_id_asc, reverse=True)
+        _order_test("version", sorted_by_room_id_desc)
 
-        _order_test("creator", [room_id_1, room_id_2, room_id_3])
-        _order_test("creator", [room_id_1, room_id_2, room_id_3], reverse=True)
+        _order_test("creator", sorted_by_room_id_asc)
+        _order_test("creator", sorted_by_room_id_desc, reverse=True)
 
-        _order_test("encryption", [room_id_1, room_id_2, room_id_3])
-        _order_test("encryption", [room_id_1, room_id_2, room_id_3], reverse=True)
+        _order_test("encryption", sorted_by_room_id_asc)
+        _order_test("encryption", sorted_by_room_id_desc, reverse=True)
 
-        _order_test("federatable", [room_id_1, room_id_2, room_id_3])
-        _order_test("federatable", [room_id_1, room_id_2, room_id_3], reverse=True)
+        _order_test("federatable", sorted_by_room_id_asc)
+        _order_test("federatable", sorted_by_room_id_desc, reverse=True)
 
-        _order_test("public", [room_id_1, room_id_2, room_id_3])
-        # Different sort order of SQlite and PostreSQL
-        # _order_test("public", [room_id_3, room_id_2, room_id_1], reverse=True)
+        _order_test("public", sorted_by_room_id_asc)
+        _order_test("public", sorted_by_room_id_desc, reverse=True)
 
-        _order_test("join_rules", [room_id_1, room_id_2, room_id_3])
-        _order_test("join_rules", [room_id_1, room_id_2, room_id_3], reverse=True)
+        _order_test("join_rules", sorted_by_room_id_asc)
+        _order_test("join_rules", sorted_by_room_id_desc, reverse=True)
 
-        _order_test("guest_access", [room_id_1, room_id_2, room_id_3])
-        _order_test("guest_access", [room_id_1, room_id_2, room_id_3], reverse=True)
+        _order_test("guest_access", sorted_by_room_id_asc)
+        _order_test("guest_access", sorted_by_room_id_desc, reverse=True)
 
-        _order_test("history_visibility", [room_id_1, room_id_2, room_id_3])
-        _order_test(
-            "history_visibility", [room_id_1, room_id_2, room_id_3], reverse=True
-        )
+        _order_test("history_visibility", sorted_by_room_id_asc)
+        _order_test("history_visibility", sorted_by_room_id_desc, reverse=True)
 
+        # Note: state_event counts are sorted in descending order when dir=f
         _order_test("state_events", [room_id_3, room_id_2, room_id_1])
         _order_test("state_events", [room_id_1, room_id_2, room_id_3], reverse=True)