Wyo. Stat. § 15-1-107 (2026)

(a) A vacancy exists in the office of mayor or councilman
if during the term for which elected any mayor or councilman:

          (i) Except as provided in W.S. 22-23-103, fails the
residency requirements as defined by local ordinance for the
city, town or ward;

           (ii)    Is convicted of a felony;

          (iii) Fails to attend four (4) or more consecutive
regularly scheduled meetings of the council without an excused
absence as determined by a majority of the council according to
procedures adopted pursuant to subsection (b) of this section;
or
           (iv)   Meets any other condition specified in W.S.
22-18-101.

     (b) The governing body, by ordinance, shall specify the
procedure for determining whether a vacancy exists.

     (c) If a vacancy is determined to exist, the governing
body shall appoint an eligible person to the office who shall
serve until his successor is elected at the next general
municipal election and qualified. If the entire council is
vacant, the district judge for the district in which the city or
town is located shall appoint a person to fill each vacancy and
serve until the next general municipal election at which time a
successor shall be elected to fill the unexpired portion of each
term.

     (d) A vacancy in the office of mayor shall be filled only
from the governing body.

     (e) Vacancies in appointive offices shall be filled in the
manner provided for initial appointments.