To operate a motorcycle on a public highway, an operator must have a: Do you currently have car insurance? Insurance is mandatory to drive in Ohio Yes I have insurance. But please show me your best quotes. No, please help me find the best insurance. Question To operate a motorcycle on a public highway, an operator must have a: Answers Class M Driver License. Class B Driver License. Class C Driver License. Class O Driver License. Explanation The operator of a motorcycle on a public highway must hold a valid Class M Driver License. This requirement also applies to operators of motor-driven cycles and mopeds.