diff --git a/starlette/responses.py b/starlette/responses.py
index 047ff9561..a6975747b 100644
--- a/starlette/responses.py
+++ b/starlette/responses.py
@@ -41,10 +41,10 @@ def __init__(
         self.body = self.render(content)
         self.init_headers(headers)
 
-    def render(self, content: typing.Any) -> bytes:
+    def render(self, content: typing.Any) -> bytes | memoryview:
         if content is None:
             return b""
-        if isinstance(content, bytes):
+        if isinstance(content, (bytes, memoryview)):
             return content
         return content.encode(self.charset)  # type: ignore
 
diff --git a/tests/test_responses.py b/tests/test_responses.py
index fa3c1009f..434cc5a22 100644
--- a/tests/test_responses.py
+++ b/tests/test_responses.py
@@ -541,11 +541,18 @@ def test_streaming_response_known_size(test_client_factory: TestClientFactory) -
     assert response.headers["content-length"] == "10"
 
 
+def test_response_memoryview(test_client_factory: TestClientFactory) -> None:
+    app = Response(content=memoryview(b"\xC0"))
+    client: TestClient = test_client_factory(app)
+    response = client.get("/")
+    assert response.content == b"\xC0"
+
+
 def test_streaming_response_memoryview(test_client_factory: TestClientFactory) -> None:
-    app = StreamingResponse(content=iter([memoryview(b"hello"), memoryview(b"world")]))
+    app = StreamingResponse(content=iter([memoryview(b"\xC0"), memoryview(b"\xF5")]))
     client: TestClient = test_client_factory(app)
     response = client.get("/")
-    assert response.text == "helloworld"
+    assert response.content == b"\xC0\xF5"
 
 
 @pytest.mark.anyio