diff --git a/moto/ecs/models.py b/moto/ecs/models.py
index 4a6737ceb..f51493c3f 100644
--- a/moto/ecs/models.py
+++ b/moto/ecs/models.py
@@ -94,6 +94,12 @@ class Cluster(BaseObject):
             # no-op when nothing changed between old and new resources
             return original_resource
 
+    def get_cfn_attribute(self, attribute_name):
+        from moto.cloudformation.exceptions import UnformattedGetAttTemplateException
+        if attribute_name == 'Arn':
+            return self.arn
+        raise UnformattedGetAttTemplateException()
+
 
 class TaskDefinition(BaseObject):
 
@@ -271,6 +277,12 @@ class Service(BaseObject):
         else:
             return ecs_backend.update_service(cluster_name, service_name, task_definition, desired_count)
 
+    def get_cfn_attribute(self, attribute_name):
+        from moto.cloudformation.exceptions import UnformattedGetAttTemplateException
+        if attribute_name == 'Name':
+            return self.name
+        raise UnformattedGetAttTemplateException()
+
 
 class ContainerInstance(BaseObject):