The six climbers, including one guide, had been reported missing since yesterday evening after they failed to return to their shelter when bad weather hit the mountain.
The group had set out to climb the "Aiguille d'Argentiere" peak on the Mont Blanc massif, which stands at 3,902 metres.
There have been several deaths this climbing season on the mountain, sparking fears among professional guides that Mont Blanc is fast becoming a tourist "free-for-all".
Two Belgians were found dead on August 2 and six climbers died between July 15 and 30 -- two Irish, two Finns, a German and a French person.
The family escaped uninjured, but video footage of the incident in a spot known as the "Corridor of Death" caused an outcry when it was broadcast in the United States last month.