diff --git a/synapse/push/action_generator.py b/synapse/push/action_generator.py
index 84efcdd18..59e512f50 100644
--- a/synapse/push/action_generator.py
+++ b/synapse/push/action_generator.py
@@ -15,7 +15,7 @@
 
 from twisted.internet import defer
 
-from .bulk_push_rule_evaluator import evaluator_for_room_id
+from .bulk_push_rule_evaluator import evaluator_for_event
 
 import logging
 
@@ -35,8 +35,8 @@ class ActionGenerator:
 
     @defer.inlineCallbacks
     def handle_push_actions_for_event(self, event, context, handler):
-        bulk_evaluator = yield evaluator_for_room_id(
-            event.room_id, self.hs, self.store
+        bulk_evaluator = yield evaluator_for_event(
+            event, self.hs, self.store
         )
 
         actions_by_user = yield bulk_evaluator.action_for_event_by_user(
diff --git a/synapse/push/baserules.py b/synapse/push/baserules.py
index 6add94bee..8a174feea 100644
--- a/synapse/push/baserules.py
+++ b/synapse/push/baserules.py
@@ -79,7 +79,7 @@ def make_base_append_rules(kind, modified_base_rules):
     rules = []
 
     if kind == 'override':
-        rules = BASE_APPEND_OVRRIDE_RULES
+        rules = BASE_APPEND_OVERRIDE_RULES
     elif kind == 'underride':
         rules = BASE_APPEND_UNDERRIDE_RULES
     elif kind == 'content':
@@ -148,7 +148,7 @@ BASE_PREPEND_OVERRIDE_RULES = [
 ]
 
 
-BASE_APPEND_OVRRIDE_RULES = [
+BASE_APPEND_OVERRIDE_RULES = [
     {
         'rule_id': 'global/override/.m.rule.suppress_notices',
         'conditions': [
@@ -163,6 +163,40 @@ BASE_APPEND_OVRRIDE_RULES = [
             'dont_notify',
         ]
     },
+    # NB. .m.rule.invite_for_me must be higher prio than .m.rule.member_event
+    # otherwise invites will be matched by .m.rule.member_event
+    {
+        'rule_id': 'global/underride/.m.rule.invite_for_me',
+        'conditions': [
+            {
+                'kind': 'event_match',
+                'key': 'type',
+                'pattern': 'm.room.member',
+                '_id': '_member',
+            },
+            {
+                'kind': 'event_match',
+                'key': 'content.membership',
+                'pattern': 'invite',
+                '_id': '_invite_member',
+            },
+            {
+                'kind': 'event_match',
+                'key': 'state_key',
+                'pattern_type': 'user_id'
+            },
+        ],
+        'actions': [
+            'notify',
+            {
+                'set_tweak': 'sound',
+                'value': 'default'
+            }, {
+                'set_tweak': 'highlight',
+                'value': False
+            }
+        ]
+    },
     # Will we sometimes want to know about people joining and leaving?
     # Perhaps: if so, this could be expanded upon. Seems the most usual case
     # is that we don't though. We add this override rule so that even if
@@ -251,38 +285,6 @@ BASE_APPEND_UNDERRIDE_RULES = [
             }
         ]
     },
-    {
-        'rule_id': 'global/underride/.m.rule.invite_for_me',
-        'conditions': [
-            {
-                'kind': 'event_match',
-                'key': 'type',
-                'pattern': 'm.room.member',
-                '_id': '_member',
-            },
-            {
-                'kind': 'event_match',
-                'key': 'content.membership',
-                'pattern': 'invite',
-                '_id': '_invite_member',
-            },
-            {
-                'kind': 'event_match',
-                'key': 'state_key',
-                'pattern_type': 'user_id'
-            },
-        ],
-        'actions': [
-            'notify',
-            {
-                'set_tweak': 'sound',
-                'value': 'default'
-            }, {
-                'set_tweak': 'highlight',
-                'value': False
-            }
-        ]
-    },
     {
         'rule_id': 'global/underride/.m.rule.message',
         'conditions': [
@@ -315,7 +317,7 @@ for r in BASE_PREPEND_OVERRIDE_RULES:
     r['default'] = True
     BASE_RULE_IDS.add(r['rule_id'])
 
-for r in BASE_APPEND_OVRRIDE_RULES:
+for r in BASE_APPEND_OVERRIDE_RULES:
     r['priority_class'] = PRIORITY_CLASS_MAP['override']
     r['default'] = True
     BASE_RULE_IDS.add(r['rule_id'])
diff --git a/synapse/push/bulk_push_rule_evaluator.py b/synapse/push/bulk_push_rule_evaluator.py
index 7f94591dc..49216f0c1 100644
--- a/synapse/push/bulk_push_rule_evaluator.py
+++ b/synapse/push/bulk_push_rule_evaluator.py
@@ -69,7 +69,8 @@ def _get_rules(room_id, user_ids, store):
 
 
 @defer.inlineCallbacks
-def evaluator_for_room_id(room_id, hs, store):
+def evaluator_for_event(event, hs, store):
+    room_id = event.room_id
     users_with_pushers = yield store.get_users_with_pushers_in_room(room_id)
     receipts = yield store.get_receipts_for_room(room_id, "m.read")
 
@@ -79,6 +80,15 @@ def evaluator_for_room_id(room_id, hs, store):
         if hs.is_mine_id(r['user_id']):
             user_ids.add(r['user_id'])
 
+    # if this event is an invite event, we may need to run rules for the user
+    # who's been invited, otherwise they won't get told they've been invited
+    if event.type == 'm.room.member' and event.content['membership'] == 'invite':
+        invited_user = event.state_key
+        if invited_user and hs.is_mine_id(invited_user):
+            has_pusher = yield store.user_has_pusher(invited_user)
+            if has_pusher:
+                user_ids.add(invited_user)
+
     user_ids = list(user_ids)
 
     rules_by_user = yield _get_rules(room_id, user_ids, store)
diff --git a/synapse/storage/pusher.py b/synapse/storage/pusher.py
index b34a30a8f..19888a8e7 100644
--- a/synapse/storage/pusher.py
+++ b/synapse/storage/pusher.py
@@ -49,6 +49,13 @@ class PusherStore(SQLBaseStore):
 
         return rows
 
+    @defer.inlineCallbacks
+    def user_has_pusher(self, user_id):
+        ret = yield self._simple_select_one_onecol(
+            "pushers", {"user_name": user_id}, "id", allow_none=True
+        )
+        defer.returnValue(ret is not None)
+
     @defer.inlineCallbacks
     def get_pushers_by_app_id_and_pushkey(self, app_id, pushkey):
         def r(txn):