The incident happened on Friday, on the Piz Badus peak near the village of Tujetsch in the centre-south of Switzerland.
Police said a group of seven cross-country skiers were swept up in the avalanche, with five of them buried underneath.
One member of the party raised the alarm in a phone call to local police, who deployed helicopters with rescue workers and dogs to the site.
The German man was found lifeless under the snow and ice, the police said, adding that the four others hurt – whose nationalities were not given – suffered light injuries and were flown to nearby hospitals.
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