The man fell on a curve of the winding run from Ruestel to Iltios and slid off the piste shortly after 2pm, cantonal police said in a news release.
He plunged several metres into steep forested terrain, the release said.
An emergency rescue crew equipped with a helicopter was unable to save the man who died from his injuries, police said.
The victim was a resident of the canton of Lucerne.
An investigation has been launched into the cause of the accident.