The climbers died in the Mont Blanc Massif on Wednesday night, close to the Italian border in eastern France.
The body of the guide, reportedly a 50-year-old German national, was found in the early hours of Thursday, with his two female clients recovered late on Wednesday night.
One of them was a 33-year-old Anglo-Polish woman, reported the BFM TV channel, the other was a 32-year-old from Slovakia.
The trio died near the summit of Mont Maudit, the name of which translates from French to "Cursed Mountain". The summit is 4,465 metres.
The area had been hit by an avalanche on Tuesday, and a member of the rescue team told France TV Info that a similar thing had happened on Wednesday.
"The group was carried away by an avalanche of seracs, or large blocks of ice," the rescuer said.
The local gendarmerie have launched an investigation.