The 'You're Beautiful' hitmaker has co-founded La Vache, which officially opened its doors on December 8 in Verbier, reported Daily Star.
Blunt, 38, who has a house in the area and spends the winter months at the resort, will stay away from cooking duties but has a pizza named in his honour.
"Since there was snow, gifts, intimate celebrations with the family - it was simply the most wonderful time of the year. Everytime I have this feeling I think of Switzerland. It is a magical feeling. It has long been my dream to (have) a panoramic restaurant. I love skiing and good food," he said.