N.M. Stat. § 52-1-2
The state and each county, municipality, school district, drainage, irrigation or conservancy district, public institution and administrative board thereof employing workers, every charitable organization employing workers and every private person, firm or corporation engaged in carrying on for the purpose of business or trade within this state, and which employs three or more workers, except as provided in Section 52-1-6 NMSA 1978, shall become liable to and shall pay to any such worker injured by accident arising out of and in the course of his employment and, in case of his death being occasioned thereby, to such person as may be authorized by the director or appointed by a court to receive the same for the benefit of his dependents, compensation in the manner and amount at the times required in the Workers' Compensation Act.
NMS § 52-1-2