diff --git a/moto/apigateway/exceptions.py b/moto/apigateway/exceptions.py
index 434ebc467..2a306ab99 100644
--- a/moto/apigateway/exceptions.py
+++ b/moto/apigateway/exceptions.py
@@ -39,7 +39,7 @@ class InvalidResourcePathException(BadRequestException):
     def __init__(self):
         super(InvalidResourcePathException, self).__init__(
             "BadRequestException",
-            "Resource's path part only allow a-zA-Z0-9._- and curly braces at the beginning and the end.",
+            "Resource's path part only allow a-zA-Z0-9._- and curly braces at the beginning and the end and an optional plus sign before the closing brace.",
         )
 
 
diff --git a/moto/apigateway/models.py b/moto/apigateway/models.py
index fd2fb7064..748a09e0f 100644
--- a/moto/apigateway/models.py
+++ b/moto/apigateway/models.py
@@ -556,7 +556,7 @@ class APIGatewayBackend(BaseBackend):
         return resource
 
     def create_resource(self, function_id, parent_resource_id, path_part):
-        if not re.match("^\\{?[a-zA-Z0-9._-]+\\}?$", path_part):
+        if not re.match("^\\{?[a-zA-Z0-9._-]+\\+?\\}?$", path_part):
             raise InvalidResourcePathException()
         api = self.get_rest_api(function_id)
         child = api.add_child(path=path_part, parent_id=parent_resource_id)
diff --git a/tests/test_apigateway/test_apigateway.py b/tests/test_apigateway/test_apigateway.py
index 59c0c07f6..601aa2952 100644
--- a/tests/test_apigateway/test_apigateway.py
+++ b/tests/test_apigateway/test_apigateway.py
@@ -58,15 +58,15 @@ def test_create_resource__validate_name():
         0
     ]["id"]
 
-    invalid_names = ["/users", "users/", "users/{user_id}", "us{er"]
-    valid_names = ["users", "{user_id}", "user_09", "good-dog"]
+    invalid_names = ["/users", "users/", "users/{user_id}", "us{er", "us+er"]
+    valid_names = ["users", "{user_id}", "{proxy+}", "user_09", "good-dog"]
     # All invalid names should throw an exception
     for name in invalid_names:
         with assert_raises(ClientError) as ex:
             client.create_resource(restApiId=api_id, parentId=root_id, pathPart=name)
         ex.exception.response["Error"]["Code"].should.equal("BadRequestException")
         ex.exception.response["Error"]["Message"].should.equal(
-            "Resource's path part only allow a-zA-Z0-9._- and curly braces at the beginning and the end."
+            "Resource's path part only allow a-zA-Z0-9._- and curly braces at the beginning and the end and an optional plus sign before the closing brace."
         )
     # All valid names  should go through
     for name in valid_names: