"I'm very happy. What a way to start a new season," the 26-year-old told Viaplay, according to news agency NTB.
Lucas Pinheiro Braathen finished 48 hundredths of a second ahead of second-placed Loïc Meillard of Switzerland. Last year's overall winner, Marco Odermatt of Switzerland, was third, 49 hundredths behind Pinheiro Braathen.
The Brazilian won gold in the giant slalom at last year's Winter Olympics in Italy, becoming the first South American to win a medal at a Winter Olympics.
Two Swedish skiers, Fabian Ax Swartz and William Hansson, competed in Sölden, but neither finished in the top 30 in the first run, so they did not qualify for the second.
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