Texas Health and Safety Code - HEALTH & SAFETY § 285.081. Optional Four-year Terms

(a) The governing board of a hospital district created under general or special law may, on its own motion, order that the members of the governing board are to be elected in even-numbered years to serve staggered four-year terms.

(b) The first election of board members in an even-numbered year that occurs at least 120 days after the date on which an order is entered under Subsection (a) shall be held as previously scheduled and the members elected shall serve two-year terms.  The subsequent election of board members previously scheduled to be held in an odd-numbered year shall be held as scheduled and the members elected shall serve three-year terms.  Subsequent members shall be elected in even-numbered years and shall serve four-year terms.

(c) This section does not apply to a hospital district created under Chapter 281, Chapter 282, and Chapter 283.