The unidentified 42-year-old man was climbing with a companion in western Tyrol province when he slipped down the rocky slope, landing about 650 feet below on a bed of rocks, the BBC said.
A helicopter was used to retrieve the man's body. Officials said the duo were not veteran climbers and had encountered bad weather and snow-covered paths, forcing them off their route.
The British embassy in Vienna is providing consular services to the victim's family.
Martin Bashir resigns from MSNBC over Sarah Palin comments
Exploding whale video goes viral on Internet