diff --git a/airflow/www/views.py b/airflow/www/views.py
index 4c2d3d99aa5d1..a1c4865a3cab2 100644
--- a/airflow/www/views.py
+++ b/airflow/www/views.py
@@ -5247,6 +5247,8 @@ class DagRunModelView(AirflowPrivilegeVerifierModelView):
 
     class_permission_name = permissions.RESOURCE_DAG_RUN
     method_permission_name = {
+        "delete": "delete",
+        "edit": "edit",
         "list": "read",
         "action_clear": "edit",
         "action_muldelete": "delete",
@@ -5625,6 +5627,7 @@ class TaskInstanceModelView(AirflowPrivilegeVerifierModelView):
     class_permission_name = permissions.RESOURCE_TASK_INSTANCE
     method_permission_name = {
         "list": "read",
+        "delete": "delete",
         "action_clear": "edit",
         "action_muldelete": "delete",
         "action_set_running": "edit",