Wyo. Const. art. 6, § 10: Alien suffrage.

Nothing herein contained shall be construed to deprive any person of the right to vote who has such right at the time of the adoption of this constitution, unless disqualified by the restrictions of section six of this article. After the expiration of five (5) years from the time of the adoption of this constitution, none but citizens of the United States shall have the right to vote.