Texas Occupations Code - OCC § 1152.104. Terms; Vacancy

(a) Members of the council serve staggered three-year terms, with the terms of two members expiring on February 1 of each year.

(b) If a vacancy occurs during a member's term, the presiding officer of the commission, with the commission's approval, shall appoint to fill the unexpired part of the term a replacement who meets the qualifications of the vacated office.