Strongsville is a city in Cuyahoga County, Ohio, United States. The population was 43,858 as of the 2000 Census. The current mayor, Thomas Perciak, was elected in 2003 following the death of longtime mayor Walter F. Ehrnfelt. The city's nickname is 'Crossroads of the Nation,' as this is where the Ohio Turnpike and Interstate 71 intersect. Strongsville apartments for rent comparison page shows most up to date rent information on Strongsville apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.