The avalanche hit skiers on the resort's crowded Carline piste, reports said.
Rescuers were unable to use helicopters because of poor visibility and were having to make their way to the avalanche site on foot.
The avalanche risk at Tignes was four on a scale of five, reports said, and the entire resort has been closed to skiers
Last month four snowboarders were killed when an avalanche hit an off-piste area of the same resort.
Tignes said that it appeared to have been set off by a group of skiers higher up.
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