New Mexico State Police say the plane went down Wednesday night near State Road 26 in an open area away from any structures.
Federal Aviation Administration officials reported getting a distress call from the pilot saying he was losing his vision. They then lost contact with the pilot.
Authorities say pilot Carl Link was the only person aboard the plane. He was pronounced dead at the scene.
They say Link had recently moved to New Mexico from Missouri.
His age and hometown in Missouri and residence in New Mexico aren't immediately available.
Authorities say the cause of the crash is unclear and State Police will continue to investigate.