(1) Any marriage between persons of the same sex is against the strong public policy of this state. Any marriage between persons of the same sex shall have no legal force or effect in this state and, if attempted to be entered into in this state, is void ab initio and shall not be recognized by this state.
(2) Any marriage entered into by persons of the same sex in any other jurisdiction shall be considered and treated in all respects as having no legal force or effect in this state and shall not be recognized by this state.
(3) The recognition or extension by the state of the specific statutory benefits of a legal marriage to nonmarital relationships between persons of the same sex or different sexes is against the strong public policy of this state. Any public act, record, or judicial proceeding of this state, as defined in section 9.82 of the Revised Code, that extends the specific statutory benefits of legal marriage to nonmarital relationships between persons of the same sex or different sexes is void ab initio. Title 31 Chapter 3101

Source: Ohio State Constitution