diff --git a/providers/src/airflow/providers/http/exceptions.py b/providers/src/airflow/providers/http/exceptions.py
index 57c440a691113..1f20b5249e109 100644
--- a/providers/src/airflow/providers/http/exceptions.py
+++ b/providers/src/airflow/providers/http/exceptions.py
@@ -18,5 +18,8 @@
 from airflow.exceptions import AirflowException
 
 
+class HttpErrorException(AirflowException):
+    """Exception raised for HTTP error in Http hook."""
+
 class HttpMethodException(AirflowException):
     """Exception raised for invalid HTTP methods in Http hook."""
diff --git a/providers/src/airflow/providers/http/hooks/http.py b/providers/src/airflow/providers/http/hooks/http.py
index 1afd1396874cd..76c192c7a6e18 100644
--- a/providers/src/airflow/providers/http/hooks/http.py
+++ b/providers/src/airflow/providers/http/hooks/http.py
@@ -32,7 +32,7 @@
 
 from airflow.exceptions import AirflowException
 from airflow.hooks.base import BaseHook
-from airflow.providers.http.exceptions import HttpMethodException
+from airflow.providers.http.exceptions import HttpErrorException, HttpMethodException
 
 if TYPE_CHECKING:
     from aiohttp.client_reqrep import ClientResponse
@@ -452,9 +452,7 @@ async def run(
                     self.log.exception("HTTP error with status: %s", e.status)
                     # In this case, the user probably made a mistake.
                     # Don't retry.
-                    raise AirflowException(f"{e.status}:{e.message}")
-                else:
-                await asyncio.sleep(self.retry_delay)
+                    raise HttpErrorException(f"{e.status}:{e.message}")
             else:
                 return response