Ohio Rev. Code § 4504.10: Preemption of right to levy.

Except as otherwise provided in this chapter, the levy of any excise, license, income, or property tax by the state or by any political subdivision thereof shall not be construed as preempting the power of a county to levy a county motor vehicle license tax pursuant to section 4504.02, 4504.15, 4504.16, or 4504.24 of the Revised Code, of a township to levy a township motor vehicle license tax pursuant to sections 4504.18 and 4504.181 of the Revised Code, or of a municipal corporation to levy a municipal motor vehicle license tax pursuant to section 4504.06, 4504.17, 4504.171, 4504.172, or 4504.173 of the Revised Code.