If your pet is a dog or a cat you must have it licensed. The applicable City Ordinance reads:
SECTION 11-II-1 License Requirement; Fees.
(A) License Required: All dogs and cats must be licensed each year, except as otherwise provided herein, to a responsible adult.
(B) Time Limit: Any person owning, possessing, or harboring any dog or cat shall obtain a license for such animal within thirty (30) days after the dog or cat reaches the age of four (4) months; or in the case of a dog or cat over four (4) months, within fourteen (14) days after acquisition of the dog or cat or locating within the Cedar City limits.
Once you have licensed your pet, your pet must wear the tag issued by the City at all times.