diff --git a/moto/apigateway/models.py b/moto/apigateway/models.py
index d8fda52a0..95eaad7ad 100644
--- a/moto/apigateway/models.py
+++ b/moto/apigateway/models.py
@@ -190,7 +190,7 @@ class Method(CloudFormationModel, dict):
                 authorizerId=kwargs.get("authorizer_id"),
                 authorizationScopes=kwargs.get("authorization_scopes"),
                 apiKeyRequired=kwargs.get("api_key_required") or False,
-                requestParameters=None,
+                requestParameters=kwargs.get("request_parameters"),
                 requestModels=kwargs.get("request_models"),
                 methodIntegration=None,
                 operationName=kwargs.get("operation_name"),
@@ -342,6 +342,7 @@ class Resource(CloudFormationModel):
         method_type,
         authorization_type,
         api_key_required,
+        request_parameters=None,
         request_models=None,
         operation_name=None,
         authorizer_id=None,
@@ -354,6 +355,7 @@ class Resource(CloudFormationModel):
             method_type=method_type,
             authorization_type=authorization_type,
             api_key_required=api_key_required,
+            request_parameters=request_parameters,
             request_models=request_models,
             operation_name=operation_name,
             authorizer_id=authorizer_id,
@@ -1409,6 +1411,7 @@ class APIGatewayBackend(BaseBackend):
         method_type,
         authorization_type,
         api_key_required=None,
+        request_parameters=None,
         request_models=None,
         operation_name=None,
         authorizer_id=None,
@@ -1420,6 +1423,7 @@ class APIGatewayBackend(BaseBackend):
             method_type,
             authorization_type,
             api_key_required=api_key_required,
+            request_parameters=request_parameters,
             request_models=request_models,
             operation_name=operation_name,
             authorizer_id=authorizer_id,
diff --git a/moto/apigateway/responses.py b/moto/apigateway/responses.py
index 69ee6180f..5ddd7b840 100644
--- a/moto/apigateway/responses.py
+++ b/moto/apigateway/responses.py
@@ -190,6 +190,7 @@ class APIGatewayResponse(BaseResponse):
             authorizer_id = self._get_param("authorizerId")
             authorization_scopes = self._get_param("authorizationScopes")
             request_validator_id = self._get_param("requestValidatorId")
+            request_parameters = self._get_param("requestParameters")
             method = self.backend.put_method(
                 function_id,
                 resource_id,
@@ -197,6 +198,7 @@ class APIGatewayResponse(BaseResponse):
                 authorization_type,
                 api_key_required,
                 request_models=request_models,
+                request_parameters=request_parameters,
                 operation_name=operation_name,
                 authorizer_id=authorizer_id,
                 authorization_scopes=authorization_scopes,
diff --git a/tests/test_apigateway/test_apigateway.py b/tests/test_apigateway/test_apigateway.py
index e430b9818..f0ca4e6a3 100644
--- a/tests/test_apigateway/test_apigateway.py
+++ b/tests/test_apigateway/test_apigateway.py
@@ -354,7 +354,11 @@ def test_create_method():
     ]["id"]
 
     client.put_method(
-        restApiId=api_id, resourceId=root_id, httpMethod="GET", authorizationType="none"
+        restApiId=api_id,
+        resourceId=root_id,
+        httpMethod="GET",
+        authorizationType="none",
+        requestParameters={"method.request.header.InvocationType": True},
     )
 
     response = client.get_method(restApiId=api_id, resourceId=root_id, httpMethod="GET")
@@ -368,6 +372,7 @@ def test_create_method():
             "authorizationType": "none",
             "apiKeyRequired": False,
             "methodResponses": {},
+            "requestParameters": {"method.request.header.InvocationType": True},
             "ResponseMetadata": {"HTTPStatusCode": 200},
         }
     )