diff --git a/moto/ecs/models.py b/moto/ecs/models.py
index e0b29cb01..3ae360d69 100644
--- a/moto/ecs/models.py
+++ b/moto/ecs/models.py
@@ -109,6 +109,10 @@ class TaskDefinition(BaseObject):
         del response_object['arn']
         return response_object
 
+    @property
+    def physical_resource_id(self):
+        return self.arn
+
     @classmethod
     def create_from_cloudformation_json(cls, resource_name, cloudformation_json, region_name):
         properties = cloudformation_json['Properties']
diff --git a/tests/test_ecs/test_ecs_boto3.py b/tests/test_ecs/test_ecs_boto3.py
index 5fcc297aa..53042ed02 100644
--- a/tests/test_ecs/test_ecs_boto3.py
+++ b/tests/test_ecs/test_ecs_boto3.py
@@ -1319,15 +1319,20 @@ def test_create_task_definition_through_cloudformation():
     }
     template_json = json.dumps(template)
     cfn_conn = boto3.client('cloudformation', region_name='us-west-1')
+    stack_name = 'test_stack'
     cfn_conn.create_stack(
-        StackName="test_stack",
+        StackName=stack_name,
         TemplateBody=template_json,
     )
 
     ecs_conn = boto3.client('ecs', region_name='us-west-1')
     resp = ecs_conn.list_task_definitions()
     len(resp['taskDefinitionArns']).should.equal(1)
+    task_definition_arn = resp['taskDefinitionArns'][0]
 
+    task_definition_details = cfn_conn.describe_stack_resource(
+        StackName=stack_name,LogicalResourceId='testTaskDefinition')['StackResourceDetail']
+    task_definition_details['PhysicalResourceId'].should.equal(task_definition_arn)
 
 @mock_ec2
 @mock_ecs