13 Tex. Admin. Code § 1.113
The term of office of a council member is three years. A council member may serve no more than two consecutive terms, but shall again become eligible for election to the council after an absence of one full term.
Source Note:The provisions of this §1.113 adopted to be effective September 1, 1977, 2 TexReg 1928; amended to be effective April 30, 1985, 10 TexReg 1228.