New Mexico Statutes Chapter 10. Public Officers and Employees § 10-3-3. Vacancy in county office; appointment

Whenever any vacancy in any county office in any of the counties of this state, other than a vacancy in the office of county commissioner, occurs by reason of death, resignation or otherwise, it is the duty of the board of county commissioners of the county where such vacancy has occurred to fill the vacancy by appointment, and the appointee shall be entitled to hold the office until the end of the unexpired term of office.