N.M. Const. art. V, § 16
Whenever there is a vacancy in the office of the lieutenant governor, the governor shall nominate a lieutenant governor who shall take office upon confirmation by a majority vote of all members elected to the senate and shall serve the remainder of the unexpired term. (As added November 4, 2008.)
The 2008 amendment to Article V, proposed by S.J.R. No. 8, § 1 (Laws 2008) and adopted at the general election held on November 4, 2008, by a vote of 477,975 for and 215,727 against, added this section.