The Bureau of Vital Statistics in Santa Fe, New Mexico issues birth and death certificates for the state. They can be contacted at:
Office of NM Vital Records and Health Statistics
1105 S. St. Francis Drive
P.O. Box 26110
Santa Fe, NM 87502-6110
More information can be found at their web site.
Birth certificates are also issued in Las Cruces:
Dona Ana County Health Center
1170 N. Solano, Ste. A
Las Cruces, NM 88001
Apply Monday-Thursday: 8:00 AM-11:00 AM, 1:00 PM-4:00 PM
Friday hours: 8:30 AM-11:00 AM; 1:00 PM-4:00 PM
Charge is $10.00 with valid government issued photo identification.
You can also check here for addresses for requesting out-of-state birth certificates.