Maple Heights is a city in Cuyahoga County, Ohio, United States. It is a suburb of Cleveland. The population was 23,701 at the 2020 census…Maple Heights is a city in Cuyahoga County, Ohio, United States. It is a suburb of Cleveland. The population was 23,701 at the 2020 census. In 1935, the city created Maple Heights Transit to provide connections to Downtown Cleveland, crosstown service, and service for schools.