Officers say that Juan Antonio Gallegos Martinez killed 31-year-old Carolina DeLeon in Hobbs on September 11, 2010.
DeLeon's body was found in a field near North Thomas Drive and Bender Boulevard days after the murder.
Police say that Martinez, 31, was linked to the crime scene by D.N.A. evidence.
Martinez is currently serving a sentence in a Texas prison for unrelated charges.
Hobbs Police say that Martinez will be extradited to New Mexico to face one count of murder.