N.M. Stat. § 1-8-1
Nominating procedures; major political parties; minor political
parties.
A. Any major political party in New Mexico, as defined in Section 1-7-7 NMSA 1978, shall
nominate its candidates, other than its presidential candidates, by secret ballot at the next
succeeding primary election as prescribed in the Primary Election Law [1-8-10 to 1-8-52 NMSA
1978].
B. Any minor political party in New Mexico, as defined in Section 1-7-7 NMSA 1978, shall
nominate candidates for public office in the manner prescribed in its party rules and regulations
and according to the provisions of the Election Code [Chapter 1 NMSA 1978].