diff --git a/airflow/providers/databricks/hooks/databricks.py b/airflow/providers/databricks/hooks/databricks.py
index bb8a1dc88080e..9dc1df5afe675 100644
--- a/airflow/providers/databricks/hooks/databricks.py
+++ b/airflow/providers/databricks/hooks/databricks.py
@@ -43,6 +43,7 @@
 SUBMIT_RUN_ENDPOINT = ("POST", "api/2.1/jobs/runs/submit")
 GET_RUN_ENDPOINT = ("GET", "api/2.1/jobs/runs/get")
 CANCEL_RUN_ENDPOINT = ("POST", "api/2.1/jobs/runs/cancel")
+DELETE_RUN_ENDPOINT = ("POST", "api/2.1/jobs/runs/delete")
 OUTPUT_RUNS_JOB_ENDPOINT = ("GET", "api/2.1/jobs/runs/get-output")
 
 INSTALL_LIBS_ENDPOINT = ("POST", "api/2.0/libraries/install")
@@ -351,6 +352,15 @@ def cancel_run(self, run_id: int) -> None:
         json = {"run_id": run_id}
         self._do_api_call(CANCEL_RUN_ENDPOINT, json)
 
+    def delete_run(self, run_id: int) -> None:
+        """
+        Deletes a non-active run.
+
+        :param run_id: id of the run
+        """
+        json = {"run_id": run_id}
+        self._do_api_call(DELETE_RUN_ENDPOINT, json)
+
     def restart_cluster(self, json: dict) -> None:
         """
         Restarts the cluster.
diff --git a/tests/providers/databricks/hooks/test_databricks.py b/tests/providers/databricks/hooks/test_databricks.py
index 895be832b4cd0..5cbd2f186def2 100644
--- a/tests/providers/databricks/hooks/test_databricks.py
+++ b/tests/providers/databricks/hooks/test_databricks.py
@@ -143,6 +143,13 @@ def cancel_run_endpoint(host):
     return f"https://{host}/api/2.1/jobs/runs/cancel"
 
 
+def delete_run_endpoint(host):
+    """
+    Utility function to generate delete run endpoint given the host.
+    """
+    return f"https://{host}/api/2.1/jobs/runs/delete"
+
+
 def start_cluster_endpoint(host):
     """
     Utility function to generate the get run endpoint given the host.
@@ -521,6 +528,21 @@ def test_cancel_run(self, mock_requests):
             timeout=self.hook.timeout_seconds,
         )
 
+    @mock.patch("airflow.providers.databricks.hooks.databricks_base.requests")
+    def test_delete_run(self, mock_requests):
+        mock_requests.post.return_value.json.return_value = {}
+
+        self.hook.delete_run(RUN_ID)
+
+        mock_requests.post.assert_called_once_with(
+            delete_run_endpoint(HOST),
+            json={"run_id": RUN_ID},
+            params=None,
+            auth=HTTPBasicAuth(LOGIN, PASSWORD),
+            headers=self.hook.user_agent_header,
+            timeout=self.hook.timeout_seconds,
+        )
+
     @mock.patch("airflow.providers.databricks.hooks.databricks_base.requests")
     def test_start_cluster(self, mock_requests):
         mock_requests.codes.ok = 200