Tirol police spokesman Helmut Schuetz said another two people were injured when the avalanche struck the Wattener Lizum region, south-east of Innsbruck.
He added that a total of 17 people were caught in the "massive" avalanche that struck shortly before midday. Rescue teams were dispatched to the scene.
There were no immediate details on the condition of those injured.
There have been several deadly avalanches in the French Alps this skiing season.
Five French Foreign Legion soldiers died near the resort of Valfrejus on 18 January, and another died later in hospital.
Two French teenage students and a Ukrainian tourist were killed four days earlier when a teacher took students onto a closed piste at the Deux-Alpes resort.
Austrian avalanche: Czech skiers killed in Alps
07 February 2016
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Five Czech skiers have been killed in an avalanche in the Austrian Alps, local police say.
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