Wyo. Stat. Ann. § 5-13-106

The terms of chancery court judges shall be six (6) years. Each chancery court judge selected under the provisions of article 5, section 4 of the Wyoming Constitution shall serve for one (1) year after his appointment and until the first Monday in January following the next general election after the expiration of the year. At the general election, he shall stand for retention in office throughout the state as provided in article 5, section 4 of the Wyoming Constitution.