Las Cruces Fire Department spokesman Lt. Mike Martinez said the flight was a training aircraft and a student and instructor were aboard the aircraft and ejected before the crash.
Martinez said at least one of the two people aboard sustained minor injuries and had to be taken to a hospital but didn't have further details.
Martinez directed further questions to the New Mexico State Police.
New Mexico State Police Sgt. Chad Pierce said his agency has been tasked with keeping the crash site secured while the military and Federal Aviation Administration investigated.
Pierce said he could not confirm any other details about the crash and directed questions to the Corpus Christi Naval Air Station.
Update:
A Navy T-6 plane crashed just west of Las Cruces on Saturday morning after having landing gear problems, police said
Instead of doing a belly landing, the pilot decided to do a controlled ejection, where the pilot and co-pilot eject. Both had minor cuts and bruises, but no serious injuries, police said.
The plane crashed west of Las Cruces International Airport behind a nearby shooting range.
The crash temporarily closed the road to the Butterfield Shooting Range.
A squad of T-6 planes are used to train student pilots based at the Naval Air Station in Corpus Christi, Texas.