diff --git a/releasenotes/notes/add-update-group-tempest-tests-72f8ec19b2809849.yaml b/releasenotes/notes/add-update-group-tempest-tests-72f8ec19b2809849.yaml
new file mode 100644
index 0000000..23c30af
--- /dev/null
+++ b/releasenotes/notes/add-update-group-tempest-tests-72f8ec19b2809849.yaml
@@ -0,0 +1,4 @@
+---
+features:
+  - |
+    Add update_group to groups_client in the volume service library.
diff --git a/tempest/api/volume/admin/test_groups.py b/tempest/api/volume/admin/test_groups.py
index 5f01166..3f8664c 100644
--- a/tempest/api/volume/admin/test_groups.py
+++ b/tempest/api/volume/admin/test_groups.py
@@ -258,3 +258,49 @@
                     self.volumes_client, vol['id'], 'available')
         waiters.wait_for_volume_resource_status(
             self.groups_client, grp2['id'], 'available')
+
+    @decorators.idempotent_id('4a8a6fd2-8b3b-4641-8f54-6a6f99320006')
+    def test_group_update(self):
+        # Create volume type
+        volume_type = self.create_volume_type()
+
+        # Create group type
+        group_type = self.create_group_type()
+
+        # Create Group
+        grp = self._create_group(group_type, volume_type)
+
+        # Create a volume in the group
+        vol1 = self.create_volume(volume_type=volume_type['id'],
+                                  group_id=grp['id'])
+        # Create a volume not in the group
+        vol2 = self.create_volume(volume_type=volume_type['id'])
+
+        # Remove a volume from group and update name and description
+        new_grp_name = 'new_group'
+        new_desc = 'This is a new group'
+        grp_params = {'name': new_grp_name,
+                      'description': new_desc,
+                      'remove_volumes': vol1['id'],
+                      'add_volumes': vol2['id']}
+        self.groups_client.update_group(grp['id'], **grp_params)
+
+        # Wait for group status to become available
+        waiters.wait_for_volume_resource_status(
+            self.groups_client, grp['id'], 'available')
+
+        # Get the updated Group
+        grp = self.groups_client.show_group(grp['id'])['group']
+        self.assertEqual(new_grp_name, grp['name'])
+        self.assertEqual(new_desc, grp['description'])
+
+        # Get volumes in the group
+        vols = self.volumes_client.list_volumes(
+            detail=True)['volumes']
+        grp_vols = []
+        for vol in vols:
+            if vol['group_id'] == grp['id']:
+                grp_vols.append(vol)
+        self.assertEqual(1, len(grp_vols))
+        self.assertEqual(vol2['id'], grp_vols[0]['id'])
+        self.assertNotEqual(vol1['id'], grp_vols[0]['id'])
diff --git a/tempest/lib/services/volume/v3/groups_client.py b/tempest/lib/services/volume/v3/groups_client.py
index e261e8e..b463fdf 100644
--- a/tempest/lib/services/volume/v3/groups_client.py
+++ b/tempest/lib/services/volume/v3/groups_client.py
@@ -97,6 +97,18 @@
         self.expected_success(202, resp.status)
         return rest_client.ResponseBody(resp, body)
 
+    def update_group(self, group_id, **kwargs):
+        """Updates the specified group.
+
+        For a full list of available parameters, please refer to the official
+        API reference:
+        https://developer.openstack.org/api-ref/block-storage/v3/#update-group
+        """
+        put_body = json.dumps({'group': kwargs})
+        resp, body = self.put('groups/%s' % group_id, put_body)
+        self.expected_success(202, resp.status)
+        return rest_client.ResponseBody(resp, body)
+
     def is_resource_deleted(self, id):
         try:
             self.show_group(id)
diff --git a/tempest/tests/lib/services/volume/v3/test_groups_client.py b/tempest/tests/lib/services/volume/v3/test_groups_client.py
index 4d0d860..0884e5a 100644
--- a/tempest/tests/lib/services/volume/v3/test_groups_client.py
+++ b/tempest/tests/lib/services/volume/v3/test_groups_client.py
@@ -44,6 +44,17 @@
         }
     }
 
+    FAKE_UPDATE_GROUP = {
+        "group": {
+            "name": "new-group",
+            "description": "New test group",
+            "add_volumes": "27d45037-ade3-4a87-b729-dba3293c06f3,"
+                           "6e7cd916-d961-41cc-b3bd-0601ca0c701f",
+            "remove_volumes": "4d580519-6467-448e-95e9-5b25c94d83c7,"
+                              "ea22464c-f095-4a87-a31f-c5d34e0c6fc9"
+        }
+    }
+
     FAKE_INFO_GROUP = {
         "group": {
             "id": "0e701ab8-1bec-4b9f-b026-a7ba4af13578",
@@ -164,3 +175,12 @@
             'tempest.lib.common.rest_client.RestClient.post',
             self.FAKE_CREATE_GROUP_FROM_GROUP,
             status=202)
+
+    def test_update_group(self):
+        self.check_service_client_function(
+            self.client.update_group,
+            'tempest.lib.common.rest_client.RestClient.put',
+            {},
+            group_id='0e701ab8-1bec-4b9f-b026-a7ba4af13578',
+            status=202,
+            **self.FAKE_UPDATE_GROUP['group'])