I assume you live and work in Ohio. Why do you ask? Is your employer withholding for his location city? TurboTaxMinhT is correct, you are not subject to that city's income tax. You should ask your employer to stop withholding. You can claim a refund for the tax already withheld. You should contact that city for forms. Most have a special form for that kind of refund.
If you are asking if you need to file a city tax return, for that city, the answer is no. You normally only have to file a return in the city you live in. It is
not necessary to file one in the city you work in, if different. You would only file to get a refund of improper withholding
