diff --git a/moto/rds2/models.py b/moto/rds2/models.py
index 963af1c63..722d7d4fd 100644
--- a/moto/rds2/models.py
+++ b/moto/rds2/models.py
@@ -865,7 +865,10 @@ class RDS2Backend(BaseBackend):
     def stop_database(self, db_instance_identifier, db_snapshot_identifier=None):
         database = self.describe_databases(db_instance_identifier)[0]
         # todo: certain rds types not allowed to be stopped at this time.
-        if database.is_replica or database.multi_az:
+        # https://docs.aws.amazon.com/AmazonRDS/latest/UserGuide/USER_StopInstance.html#USER_StopInstance.Limitations
+        if database.is_replica or (
+            database.multi_az and database.engine.lower().startswith("sqlserver")
+        ):
             # todo: more db types not supported by stop/start instance api
             raise InvalidDBClusterStateFaultError(db_instance_identifier)
         if database.status != "available":
diff --git a/tests/test_rds2/test_rds2.py b/tests/test_rds2/test_rds2.py
index e93ff43e9..13e35549a 100644
--- a/tests/test_rds2/test_rds2.py
+++ b/tests/test_rds2/test_rds2.py
@@ -183,12 +183,12 @@ def test_start_database():
 
 
 @mock_rds2
-def test_fail_to_stop_multi_az():
+def test_fail_to_stop_multi_az_and_sqlserver():
     conn = boto3.client("rds", region_name="us-west-2")
     database = conn.create_db_instance(
         DBInstanceIdentifier="db-master-1",
         AllocatedStorage=10,
-        Engine="postgres",
+        Engine="sqlserver-ee",
         DBName="staging-postgres",
         DBInstanceClass="db.m1.small",
         LicenseModel="license-included",
@@ -213,6 +213,33 @@ def test_fail_to_stop_multi_az():
     ).should.throw(ClientError)
 
 
+@mock_rds2
+def test_stop_multi_az_postgres():
+    conn = boto3.client("rds", region_name="us-west-2")
+    database = conn.create_db_instance(
+        DBInstanceIdentifier="db-master-1",
+        AllocatedStorage=10,
+        Engine="postgres",
+        DBName="staging-postgres",
+        DBInstanceClass="db.m1.small",
+        LicenseModel="license-included",
+        MasterUsername="root",
+        MasterUserPassword="hunter2",
+        Port=1234,
+        DBSecurityGroups=["my_sg"],
+        MultiAZ=True,
+    )
+
+    mydb = conn.describe_db_instances(
+        DBInstanceIdentifier=database["DBInstance"]["DBInstanceIdentifier"]
+    )["DBInstances"][0]
+    mydb["DBInstanceStatus"].should.equal("available")
+
+    response = conn.stop_db_instance(DBInstanceIdentifier=mydb["DBInstanceIdentifier"])
+    response["ResponseMetadata"]["HTTPStatusCode"].should.equal(200)
+    response["DBInstance"]["DBInstanceStatus"].should.equal("stopped")
+
+
 @mock_rds2
 def test_fail_to_stop_readreplica():
     conn = boto3.client("rds", region_name="us-west-2")