The basic Car Insurance Requirements in Ohio are as follows:

Liability Insurance is a minimum requirement and a low cost car insurance option as long as the vehicle is not financed.

The liability Minimums are 12.5/25/7.5 (Bodily Injury and Property Damage)
12.5/25/7.5 Explained:

The first 12.5 represents $12,500, the maximum coverage for one person's injuries, $25,000 for the total coverage for all injuries sustained in one incident and last but not least $7,500 for the property damage maximum coverage amount.

Ohio Car Insurance Laws:
Insurance proof is a requirement at registration and of course after an accident. The First Offense penalty is 90 day suspension of license, $75 reinstatement charge.