diff --git a/novaclient/tests/functional/v2/test_aggregates.py b/novaclient/tests/functional/v2/test_aggregates.py
index 6eb30242e..b89e35664 100644
--- a/novaclient/tests/functional/v2/test_aggregates.py
+++ b/novaclient/tests/functional/v2/test_aggregates.py
@@ -32,13 +32,6 @@ class TestAggregatesNovaClient(base.ClientTestBase):
             except Exception:
                 pass
 
-    def test_aggregate_update_name_legacy(self):
-        self.nova('aggregate-create', params=self.agg1)
-        self.nova('aggregate-update', params='%s %s' % (self.agg1, self.agg2))
-        output = self.nova('aggregate-show', params=self.agg2)
-        self.assertIn(self.agg2, output)
-        self.nova('aggregate-delete', params=self.agg2)
-
     def test_aggregate_update_name(self):
         self.nova('aggregate-create', params=self.agg1)
         self.nova('aggregate-update',
@@ -47,14 +40,6 @@ class TestAggregatesNovaClient(base.ClientTestBase):
         self.assertIn(self.agg2, output)
         self.nova('aggregate-delete', params=self.agg2)
 
-    def test_aggregate_update_az_legacy(self):
-        self.nova('aggregate-create', params=self.agg2)
-        self.nova('aggregate-update',
-                  params='%s %s myaz' % (self.agg2, self.agg2))
-        output = self.nova('aggregate-show', params=self.agg2)
-        self.assertIn('myaz', output)
-        self.nova('aggregate-delete', params=self.agg2)
-
     def test_aggregate_update_az(self):
         self.nova('aggregate-create', params=self.agg2)
         self.nova('aggregate-update',
diff --git a/novaclient/v2/shell.py b/novaclient/v2/shell.py
index 6339a6432..87b9e6730 100644
--- a/novaclient/v2/shell.py
+++ b/novaclient/v2/shell.py
@@ -2971,27 +2971,10 @@ def do_aggregate_delete(cs, args):
     'aggregate',
     metavar='<aggregate>',
     help=_('Name or ID of aggregate to update.'))
-@utils.arg(
-    'old_name',
-    metavar='<name>',
-    nargs='?',
-    action=shell.DeprecatedAction,
-    use=_('use "%s"; this option will be removed in '
-          'novaclient 5.0.0.') % '--name',
-    help=argparse.SUPPRESS)
 @utils.arg(
     '--name',
     dest='name',
     help=_('Name of aggregate.'))
-@utils.arg(
-    'old_availability_zone',
-    metavar='<availability-zone>',
-    nargs='?',
-    default=None,
-    action=shell.DeprecatedAction,
-    use=_('use "%s"; this option will be removed in '
-          'novaclient 5.0.0.') % '--availability_zone',
-    help=argparse.SUPPRESS)
 @utils.arg(
     '--availability-zone',
     metavar='<availability-zone>',
@@ -3001,11 +2984,10 @@ def do_aggregate_update(cs, args):
     """Update the aggregate's name and optionally availability zone."""
     aggregate = _find_aggregate(cs, args.aggregate)
     updates = {}
-    if args.name or args.old_name:
-        updates["name"] = args.name or args.old_name
-    if args.availability_zone or args.old_availability_zone:
-        updates["availability_zone"] = (args.availability_zone or
-                                        args.old_availability_zone)
+    if args.name:
+        updates["name"] = args.name
+    if args.availability_zone:
+        updates["availability_zone"] = args.availability_zone
 
     aggregate = cs.aggregates.update(aggregate.id, updates)
     print(_("Aggregate %s has been successfully updated.") % aggregate.id)
diff --git a/releasenotes/notes/drop-deprecated-aggregate-update-args-17bd019f4be34b18.yaml b/releasenotes/notes/drop-deprecated-aggregate-update-args-17bd019f4be34b18.yaml
new file mode 100644
index 000000000..f02d0be84
--- /dev/null
+++ b/releasenotes/notes/drop-deprecated-aggregate-update-args-17bd019f4be34b18.yaml
@@ -0,0 +1,6 @@
+---
+upgrade:
+  - |
+    The deprecated `name` and `availability_zone` positional arguments in
+    the ``nova aggregate-update`` command have been removed. Use the
+    ``--name`` and ``--availability-zone`` options instead.