Wyo. Stat. § 5-3-201: Office created; term; election in counties of first and second class; county clerk designated ex officio clerk in other counties.

There shall be a clerk of the district court in each organized county of the state whose term of office shall be four (4) years and until his successor is elected and qualified. Clerks of the district court shall be elected at general elections in counties of the first and second class; and in all other counties the county clerk shall be ex officio clerk of the district court, and shall perform all of the duties pertaining to the office of clerk of the district court.