diff --git a/moto/iam/responses.py b/moto/iam/responses.py
index 05624101a..b923a5250 100644
--- a/moto/iam/responses.py
+++ b/moto/iam/responses.py
@@ -1349,6 +1349,7 @@ LIST_GROUPS_FOR_USER_TEMPLATE = """<ListGroupsForUserResponse>
             <GroupName>{{ group.name }}</GroupName>
             <GroupId>{{ group.id }}</GroupId>
             <Arn>{{ group.arn }}</Arn>
+            <CreateDate>{{ group.created_iso_8601 }}</CreateDate>
         </member>
         {% endfor %}
     </Groups>
@@ -1651,6 +1652,7 @@ LIST_GROUPS_FOR_USER_TEMPLATE = """<ListGroupsForUserResponse>
             <GroupName>{{ group.name }}</GroupName>
             <GroupId>{{ group.id }}</GroupId>
             <Arn>{{ group.arn }}</Arn>
+            <CreateDate>{{ group.created_iso_8601 }}</CreateDate>
         </member>
         {% endfor %}
     </Groups>