diff --git a/lib/grpc/client/adapters/gun.ex b/lib/grpc/client/adapters/gun.ex
index 47f12843..5482a055 100644
--- a/lib/grpc/client/adapters/gun.ex
+++ b/lib/grpc/client/adapters/gun.ex
@@ -245,11 +245,7 @@ defmodule GRPC.Client.Adapters.Gun do
                )}
           end
         else
-          {:error,
-           GRPC.RPCError.exception(
-             GRPC.Status.internal(),
-             "status got is #{status} instead of 200"
-           )}
+          {:error, GRPC.RPCError.from_http_status(status)}
         end
 
       {:response, :nofin, status, headers} ->
@@ -266,11 +262,7 @@ defmodule GRPC.Client.Adapters.Gun do
             {:response, headers, :nofin}
           end
         else
-          {:error,
-           GRPC.RPCError.exception(
-             GRPC.Status.internal(),
-             "status got is #{status} instead of 200"
-           )}
+          {:error, GRPC.RPCError.from_http_status(status)}
         end
 
       {:data, :fin, data} ->
diff --git a/lib/grpc/rpc_error.ex b/lib/grpc/rpc_error.ex
index 39ec37ed..e07714e1 100644
--- a/lib/grpc/rpc_error.ex
+++ b/lib/grpc/rpc_error.ex
@@ -71,6 +71,23 @@ defmodule GRPC.RPCError do
     %{error | message: error.message || Status.status_message(error.status)}
   end
 
+  def from_http_status(401), do: exception(Status.unauthenticated(), status_message(401))
+  def from_http_status(403), do: exception(Status.permission_denied(), status_message(403))
+  def from_http_status(404), do: exception(Status.unimplemented(), status_message(404))
+  def from_http_status(429), do: exception(Status.unavailable(), status_message(429))
+
+  def from_http_status(status) when status in [502, 503, 504] do
+    exception(Status.unavailable(), status_message(status))
+  end
+
+  def from_http_status(status) do
+    exception(Status.internal(), status_message(status))
+  end
+
+  defp status_message(status) do
+    "got http status #{status} instead of 200"
+  end
+
   defp parse_args([], acc), do: acc
 
   defp parse_args([{:status, status} | t], acc) when is_integer(status) do
diff --git a/test/grpc/integration/stub_test.exs b/test/grpc/integration/stub_test.exs
index d24cdc68..a628770a 100644
--- a/test/grpc/integration/stub_test.exs
+++ b/test/grpc/integration/stub_test.exs
@@ -30,6 +30,32 @@ defmodule GRPC.Integration.StubTest do
     end)
   end
 
+  error_table = [
+    {401, GRPC.Status.unauthenticated()},
+    {403, GRPC.Status.permission_denied()},
+    {404, GRPC.Status.unimplemented()},
+    {429, GRPC.Status.unavailable()},
+    {502, GRPC.Status.unavailable()},
+    {503, GRPC.Status.unavailable()},
+    {504, GRPC.Status.unavailable()},
+    # General case
+    {518, GRPC.Status.internal()}
+  ]
+
+  client_adapters = [GRPC.Client.Adapters.Gun, GRPC.Client.Adapters.Mint]
+
+  for {http_code, expected_error_code} <- error_table, client_adapter <- client_adapters do
+    test "#{client_adapter} returns RPC Error when getting HTTP #{http_code}" do
+      run_error_server(unquote(http_code), fn port ->
+        {:ok, channel} = GRPC.Stub.connect("localhost:#{port}", adapter: unquote(client_adapter))
+        req = %Helloworld.HelloRequest{name: "GRPC"}
+
+        {:error, %GRPC.RPCError{status: unquote(expected_error_code)}} =
+          Helloworld.Greeter.Stub.say_hello(channel, req)
+      end)
+    end
+  end
+
   test "you can disconnect stubs" do
     run_server(HelloServer, fn port ->
       {:ok, channel} = GRPC.Stub.connect("localhost:#{port}")
diff --git a/test/support/integration_test_case.ex b/test/support/integration_test_case.ex
index 4a4dbe9a..91cb6925 100644
--- a/test/support/integration_test_case.ex
+++ b/test/support/integration_test_case.ex
@@ -9,6 +9,34 @@ defmodule GRPC.Integration.TestCase do
     end
   end
 
+  defmodule ErrorHandler do
+    @behaviour :cowboy_handler
+
+    @impl :cowboy_handler
+    def init(req, error_code) do
+      req = :cowboy_req.reply(error_code, %{"content-type" => "text/plain"}, "", req)
+
+      {:ok, req, error_code}
+    end
+  end
+
+  def run_error_server(error_code, func, port \\ 0) do
+    dispatch =
+      :cowboy_router.compile([
+        {:_, [{:_, ErrorHandler, error_code}]}
+      ])
+
+    {:ok, _} = :cowboy.start_clear("error_server", [port: port], %{env: %{dispatch: dispatch}})
+    port = :ranch.get_port("error_server")
+
+    try do
+      func.(port)
+      :ok
+    after
+      :ok = :cowboy.stop_listener("error_server")
+    end
+  end
+
   def run_server(servers, func, port \\ 0, opts \\ []) do
     {:ok, _pid, port} = GRPC.Server.start(servers, port, opts)