N.M. Stat. § 38-1-17
Service of process.
A. In any action in which the state of New Mexico is named as a party defendant,
service of process shall be made by serving a copy of the summons and complaint on
the governor and on the attorney general.
B. In any action in which a branch, agency, bureau, department, commission or
institution of the state not specifically authorized by law to be sued is named as a party
defendant, service of process shall be made by serving a copy of the summons and
complaint on the attorney general and on the head of the branch, agency, bureau,
department, commission or institution.
C. In any action in which a branch, agency, bureau, department, commission or
institution of the state specifically authorized by law to be sued is named a party
defendant, service of process shall be made on the head of the branch, agency, bureau,
department, commission or institution and on the attorney general.
D. In any action in which an officer, official or employee of the state or one of its
branches, agencies, bureaus, departments, commissions or institutions is named a
party defendant, service of process shall be made on the officer, official or employee
and on the attorney general.
E. For the purpose of this section:
(1)
the governor shall be considered as the head of the state and the head of
the executive branch of the state;
(2)
the speaker of the house of representatives or the president pro tempore
of the senate shall be considered as the head of the legislative branch of the state; and
(3)
the chief justice of the supreme court shall be considered as the head of
the judicial branch of the state.
F. Nothing contained in this section shall be construed as waiving any immunity or
as authorizing any action against the state not otherwise specifically authorized by law.
G. In garnishment actions, service of writs of garnishment shall be made on the
department of finance and administration, on the attorney general and on the head of
the branch, agency, bureau, department, commission or institution. A copy of the writ of
garnishment shall be delivered by registered or certified mail to the defendant
employee.
H. Service of process on the governor, attorney general, agency, bureau,
department, commission or institution or head thereof shall be made either by handing a
copy of the summons and complaint to the head or to his receptionist. Where an
executive secretary is employed, he shall be considered as the head.