Wyo. Stat. § 31-2-221
Excluding dealer, antique, specialty, apportioned, publicly owned vehicle and radio amateur license plates, upon payment of the regular registration fees prescribed by W.S. 31-3-101 and a prestige license plate fee and application to the department, the distinctive license plate number assigned to a vehicle may consist of such combination of alphabetical letters or arabic numerals not currently held nor requested by any vehicle owner in the same county if approved by the department. Application shall be made to the department not later than sixty (60) days before the first day of the annual registration month for the vehicle. An owner having prestige license plates is entitled to the first priority for similar plates upon timely and proper application for license plates. A request for renewal of the registration for the prestige license plate may be made to a county treasurer for issuance of a renewal registration and validation sticker.
W.S. 31-2-221