The 42-year-old fell while climbing Stob Ban, near Fort William.
A search party was sent out yesterday after reports of a man in trouble in the area.
The man was pronounced dead at the scene and his body was recovered by the Lochaber Mountain Rescue Team.
Inspector Isla Campbell, of Fort William Police Station, said: "Our thoughts are with the man's family and friends at this time.
"I would also take the opportunity to thank our partner agencies for their assistance."