diff --git a/moto/resourcegroups/responses.py b/moto/resourcegroups/responses.py
index d6895eeca..bda5d35df 100644
--- a/moto/resourcegroups/responses.py
+++ b/moto/resourcegroups/responses.py
@@ -71,6 +71,9 @@ class ResourceGroupsResponse(BaseResponse):
 
     def get_group_query(self):
         group_name = self._get_param("GroupName")
+        group_arn = self._get_param("Group")
+        if group_arn and not group_name:
+            group_name = group_arn.split(":")[-1]
         group = self.resourcegroups_backend.get_group(group_name=group_name)
         return json.dumps(
             {
@@ -165,6 +168,9 @@ class ResourceGroupsResponse(BaseResponse):
     def update_group_query(self):
         group_name = self._get_param("GroupName")
         resource_query = self._get_param("ResourceQuery")
+        group_arn = self._get_param("Group")
+        if group_arn and not group_name:
+            group_name = group_arn.split(":")[-1]
         group = self.resourcegroups_backend.update_group_query(
             group_name=group_name, resource_query=resource_query
         )
diff --git a/tests/test_resourcegroups/test_resourcegroups.py b/tests/test_resourcegroups/test_resourcegroups.py
index 7cf852ccb..c3dd1cd52 100644
--- a/tests/test_resourcegroups/test_resourcegroups.py
+++ b/tests/test_resourcegroups/test_resourcegroups.py
@@ -64,11 +64,18 @@ def test_get_group():
 def test_get_group_query():
     resource_groups = boto3.client("resource-groups", region_name="us-east-1")
 
-    test_create_group()
+    get_response = test_get_group()
 
     response = resource_groups.get_group_query(GroupName="test_resource_group")
     response["GroupQuery"]["ResourceQuery"]["Type"].should.contain("TAG_FILTERS_1_0")
 
+    response_get = resource_groups.get_group_query(
+        Group=get_response.get("Group").get("GroupArn")
+    )
+    response_get["GroupQuery"]["ResourceQuery"]["Type"].should.contain(
+        "TAG_FILTERS_1_0"
+    )
+
 
 @mock_resourcegroups
 def test_get_tags():
@@ -136,7 +143,7 @@ def test_untag():
 def test_update_group():
     resource_groups = boto3.client("resource-groups", region_name="us-east-1")
 
-    test_get_group()
+    get_response = test_get_group()
 
     response = resource_groups.update_group(
         GroupName="test_resource_group", Description="description_2"
@@ -220,7 +227,7 @@ def test_create_group_with_configuration():
 def test_update_group_query():
     resource_groups = boto3.client("resource-groups", region_name="us-east-1")
 
-    test_create_group()
+    group_response = test_get_group()
 
     response = resource_groups.update_group_query(
         GroupName="test_resource_group",
@@ -245,3 +252,25 @@ def test_update_group_query():
     response["GroupQuery"]["ResourceQuery"]["Type"].should.contain(
         "CLOUDFORMATION_STACK_1_0"
     )
+
+    response = resource_groups.update_group_query(
+        Group=group_response.get("Group").get("GroupArn"),
+        ResourceQuery={
+            "Type": "TAG_FILTERS_1_0",
+            "Query": json.dumps(
+                {
+                    "ResourceTypeFilters": ["AWS::AllSupported"],
+                    "TagFilters": [
+                        {"Key": "resources_tag_key", "Values": ["resources_tag_value"]}
+                    ],
+                }
+            ),
+        },
+    )
+
+    response["GroupQuery"]["ResourceQuery"]["Type"].should.contain("TAG_FILTERS_1_0")
+
+    response = resource_groups.get_group_query(
+        Group=group_response.get("Group").get("GroupArn")
+    )
+    response["GroupQuery"]["ResourceQuery"]["Type"].should.contain("TAG_FILTERS_1_0")