diff --git a/sdk/core/azure-core/CHANGELOG.md b/sdk/core/azure-core/CHANGELOG.md
index 4b1a6efc76f0..441fc3877c1b 100644
--- a/sdk/core/azure-core/CHANGELOG.md
+++ b/sdk/core/azure-core/CHANGELOG.md
@@ -1,6 +1,11 @@
 # Release History
 
-## 1.10.1 (Unreleased)
+## 1.11.0 (Unreleased)
+
+### Features
+
+- Add `raise_for_status` method onto `HttpResponse`. Calling `response.raise_for_status()` on a response with an error code
+will raise an `HttpResponseError`. Calling it on a good response will do nothing  #16399
 
 
 ## 1.10.0 (2021-01-11)
diff --git a/sdk/core/azure-core/azure/core/_version.py b/sdk/core/azure-core/azure/core/_version.py
index d0c3909f631d..835c69b14b08 100644
--- a/sdk/core/azure-core/azure/core/_version.py
+++ b/sdk/core/azure-core/azure/core/_version.py
@@ -9,4 +9,4 @@
 # regenerated.
 # --------------------------------------------------------------------------
 
-VERSION = "1.10.1"
+VERSION = "1.11.0"
diff --git a/sdk/core/azure-core/azure/core/pipeline/transport/_base.py b/sdk/core/azure-core/azure/core/pipeline/transport/_base.py
index 16c873344de3..c77212d33e69 100644
--- a/sdk/core/azure-core/azure/core/pipeline/transport/_base.py
+++ b/sdk/core/azure-core/azure/core/pipeline/transport/_base.py
@@ -65,6 +65,7 @@
 
 from six.moves.http_client import HTTPConnection, HTTPResponse as _HTTPResponse
 
+from azure.core.exceptions import HttpResponseError
 from azure.core.pipeline import (
     ABC,
     AbstractContextManager,
@@ -583,6 +584,14 @@ def _get_raw_parts(self, http_response_type=None):
         requests = self.request.multipart_mixed_info[0]  # type: List[HttpRequest]
         return self._decode_parts(message, http_response_type, requests)
 
+    def raise_for_status(self):
+        # type () -> None
+        """Raises an HttpResponseError if the response has an error status code.
+        If response is good, does nothing.
+        """
+        if self.status_code >= 400:
+            raise HttpResponseError(response=self)
+
 
 class HttpResponse(_HttpResponseBase):  # pylint: disable=abstract-method
     def stream_download(self, pipeline):
diff --git a/sdk/core/azure-core/tests/async_tests/test_basic_transport_async.py b/sdk/core/azure-core/tests/async_tests/test_basic_transport_async.py
index 98cd7cc1b84a..90dbfc0ec6e6 100644
--- a/sdk/core/azure-core/tests/async_tests/test_basic_transport_async.py
+++ b/sdk/core/azure-core/tests/async_tests/test_basic_transport_async.py
@@ -14,6 +14,7 @@
 from azure.core.pipeline.transport import HttpRequest, AsyncHttpResponse, AsyncHttpTransport, AioHttpTransport
 from azure.core.pipeline.policies import HeadersPolicy
 from azure.core.pipeline import AsyncPipeline
+from azure.core.exceptions import HttpResponseError
 
 import pytest
 
@@ -706,6 +707,17 @@ async def test_multipart_receive_with_combination_changeset_first():
     assert parts[1].status_code == 202
     assert parts[2].status_code == 404
 
+def test_raise_for_status_bad_response():
+    response = MockResponse(request=None, body=None, content_type=None)
+    response.status_code = 400
+    with pytest.raises(HttpResponseError):
+        response.raise_for_status()
+
+def test_raise_for_status_good_response():
+    response = MockResponse(request=None, body=None, content_type=None)
+    response.status_code = 200
+    response.raise_for_status()
+
 
 @pytest.mark.asyncio
 async def test_multipart_receive_with_combination_changeset_middle():
diff --git a/sdk/core/azure-core/tests/test_basic_transport.py b/sdk/core/azure-core/tests/test_basic_transport.py
index 647828ee53d1..aa86d122564a 100644
--- a/sdk/core/azure-core/tests/test_basic_transport.py
+++ b/sdk/core/azure-core/tests/test_basic_transport.py
@@ -7,6 +7,7 @@
 from collections import OrderedDict
 import time
 import sys
+import json
 
 try:
     from unittest import mock
@@ -17,6 +18,7 @@
 from azure.core.pipeline.transport._base import HttpClientTransportResponse, HttpTransport, _deserialize_response, _urljoin
 from azure.core.pipeline.policies import HeadersPolicy
 from azure.core.pipeline import Pipeline
+from azure.core.exceptions import HttpResponseError
 import logging
 import pytest
 
@@ -30,7 +32,6 @@ def __init__(self, request, body, content_type):
     def body(self):
         return self._body
 
-
 @pytest.mark.skipif(sys.version_info < (3, 6), reason="Multipart serialization not supported on 2.7 + dict order not deterministic on 3.5")
 def test_http_request_serialization():
     # Method + Url
@@ -671,6 +672,17 @@ def on_response(self, request, response):
     assert res1.status_code == 404
     assert res1.headers['x-ms-fun'] == 'true'
 
+def test_raise_for_status_bad_response():
+    response = MockResponse(request=None, body=None, content_type=None)
+    response.status_code = 400
+    with pytest.raises(HttpResponseError):
+        response.raise_for_status()
+
+def test_raise_for_status_good_response():
+    response = MockResponse(request=None, body=None, content_type=None)
+    response.status_code = 200
+    response.raise_for_status()
+
 
 def test_multipart_receive_with_one_changeset():