Ohio Rev. Code § 4509.33
If a nonresident by final order or judgment of a court of record or mayor's court is convicted of, or forfeits bail or collateral deposited to secure an appearance for trial for, any offense for which the suspension of a license is provided, the registrar of motor vehicles shall impose a suspension of the privilege of the nonresident to operate a motor vehicle for the same period for which suspension of a license by a court of record is authorized by the applicable section of the Revised Code. The suspension shall remain in effect until the expiration of the period so ordered and thereafter until the nonresident gives and thereafter maintains proof of financial responsibility in accordance with section 4509.45 of the Revised Code.
The registrar shall also suspend the privilege of the use in this state of every motor vehicle owned by the nonresident, except that the registrar shall not suspend the privilege if the owner has given or immediately gives and thereafter maintains proof of financial responsibility with respect to all motor vehicles owned by the nonresident. The registrar shall restore such privilege of a nonresident owner when the owner gives and thereafter maintains proof of financial responsibility in accordance with section 4509.45 of the Revised Code.
R.C. §4509.33