Six climbers were caught up in the avalanche as they were ascending Mont Blanc du Tacul, at an altitude of 4,200 metres, the gendarmerie in the Haute-Savoie region said.
Three of the six were buried under the snow, including the two Italians, who were later found dead, and a third climber who was rescued alive.
No further details regarding the identities of the victims were immediately available.
Thousands of tourists flock to the French Alps annually for sports including mountain climbing and skiing, but every year some fall victim to accidents.
In the deadliest accident in years, nine Europeans -- three Germans, a Swiss, two Spaniards and three Britons -- were killed in July last year after an avalanche engulfed a group of climbers in the Mont Blanc massif.