N.M. Stat. § 38-5-14
Exercising challenges to jurors.
The court shall permit the parties to a case to express in the record of trial any
challenge to a juror for good cause. The court shall rule upon the challenge and may
excuse any juror for good cause. Challenges for good cause and peremptory
challenges shall be made outside the hearing of the jury. The party making a challenge
shall not be announced or disclosed to the jury panel, but each challenge shall be
recorded by the clerk and placed in the case file. In civil trials, the opposing parties shall
exercise peremptory challenges alternately. In juvenile or criminal cases, the state or
prosecution shall pass or accept or make any peremptory challenge as to each juror
before the defendant is called upon to pass, accept or exercise a peremptory challenge
as to the juror. In civil cases, each party may challenge five jurors peremptorily. When
there are two or more parties defendant or parties plaintiff, they shall exercise their
peremptory challenges jointly, and if all cannot agree on a challenge desired by one
party on a side, then the challenge is forfeited. However, if the relief sought by or
against the parties on the same side of a civil case differs, or if their interests are
diverse, or if cross-claims are to be tried, the court shall allow each party on that side of
the suit five peremptory challenges.