According to local newspaper Le Dauphine Libere, it is thought the man died after accidentally falling off the cliff the night before he was found.
A spokesperson for the Foreign, Commonwealth and Development Office said: "We are supporting the family of a British man who died in France and are in contact with the local authorities.
He was found on Monday near the Avoriaz ski resort near the town of Morzine, in the Portes du Soleil region.
The Daily Mail reported that the man had been skiing with friends before attending a party and became lost when trying to ski down the mountain by himself.
The body of the 23-year-old man has not yet been formally identified and the circumstances of his death are being investigated, authorities say.