diff --git a/slack_bolt/adapter/aws_lambda/handler.py b/slack_bolt/adapter/aws_lambda/handler.py
index 349123783..dc59d92c9 100644
--- a/slack_bolt/adapter/aws_lambda/handler.py
+++ b/slack_bolt/adapter/aws_lambda/handler.py
@@ -85,6 +85,10 @@ def to_bolt_request(event) -> BoltRequest:
     if event["isBase64Encoded"]:
         body = base64.b64decode(body).decode("utf-8")
     cookies: Sequence[str] = event.get("cookies", [])
+    if cookies is None or len(cookies) == 0:
+        # In the case of format v1
+        multiValueHeaders = event.get("multiValueHeaders", {})
+        cookies = multiValueHeaders.get("Cookie", [])
     headers = event.get("headers", {})
     headers["cookie"] = cookies
     return BoltRequest(
diff --git a/tests/adapter_tests/aws/test_aws_lambda.py b/tests/adapter_tests/aws/test_aws_lambda.py
index 99000094d..54c10200d 100644
--- a/tests/adapter_tests/aws/test_aws_lambda.py
+++ b/tests/adapter_tests/aws/test_aws_lambda.py
@@ -5,6 +5,7 @@
 from moto import mock_lambda
 from slack_sdk.signature import SignatureVerifier
 from slack_sdk.web import WebClient
+from slack_sdk.oauth import OAuthStateStore
 
 from slack_bolt.adapter.aws_lambda import SlackRequestHandler
 from slack_bolt.adapter.aws_lambda.handler import not_found
@@ -318,3 +319,46 @@ def test_oauth(self):
         assert response["statusCode"] == 200
         assert response["headers"]["content-type"] == "text/html; charset=utf-8"
         assert "https://slack.com/oauth/v2/authorize?state=" in response.get("body")
+
+    @mock_lambda
+    def test_oauth_redirect(self):
+        class TestStateStore(OAuthStateStore):
+            def consume(self, state: str) -> bool:
+                return state == "uuid4-value"
+
+        app = App(
+            client=self.web_client,
+            signing_secret=self.signing_secret,
+            oauth_settings=OAuthSettings(
+                client_id="111.111",
+                client_secret="xxx",
+                scopes=["chat:write", "commands"],
+                state_store=TestStateStore(),
+            ),
+        )
+
+        event = {
+            "body": "",
+            "queryStringParameters": {"code": "1234567890", "state": "uuid4-value"},
+            "headers": {},
+            "cookies": ["slack-app-oauth-state=uuid4-value"],
+            "requestContext": {"http": {"method": "GET"}},
+            "isBase64Encoded": False,
+        }
+        response = SlackRequestHandler(app).handle(event, self.context)
+        assert response["statusCode"] == 200
+        assert response["headers"]["content-type"] == "text/html; charset=utf-8"
+        assert response.get("body") is not None
+
+        event = {
+            "body": "",
+            "queryStringParameters": {"code": "1234567890", "state": "uuid4-value"},
+            "headers": {},
+            "multiValueHeaders": {"Cookie": ["slack-app-oauth-state=uuid4-value"]},
+            "requestContext": {"httpMethod": "GET"},
+            "isBase64Encoded": False,
+        }
+        response = SlackRequestHandler(app).handle(event, self.context)
+        assert response["statusCode"] == 200
+        assert response["headers"]["content-type"] == "text/html; charset=utf-8"
+        assert response.get("body") is not None