Constitution of the State of Ohio Art. II, § 4

No member of the general assembly shall, during the term for which he was elected, unless during such term he resigns therefrom, hold any public office under the United States, or this state, or a political subdivision thereof;  but this provision does not extend to officers of a political party, notaries public, or officers of the militia or of the United States armed forces.

No member of the general assembly shall, during the term for which he was elected, or for one year thereafter, be appointed to any public office under this state, which office was created or the compensation of which was increased, during the term for which he was elected.