David Hetenyi, 23, died from injuries sustained in the avalanche which also killed a Frenchman, Italian, Nepalese, Moldovian and an Albanian and injured seven other soldiers.
The troops were taking part in a training exercise near the resort of Valfrejus, some 60 kilometres (35 miles) south of Albertville, when they were swept away by the snowslide.
It was the latest in a series of deadly avalanches in France as snow began to fall after an unusually mild autumn.