Maze, the overall women's World Cup points leader, won Sunday's super-G in 1 minute, 16.55 seconds, edging the second-place Austrian by 4/100ths of a second.
"The conditions were really nice today," said Maze, the sixth woman in World Cup history to win in all five disciplines. "The snow got a little bit harder than Saturday but it was interesting and a lot of fun to ski."
Switzerland's Fabienne Suter took third place in 1:17.54 with Lindsey Vonn of the United States right behind in her bid for a third consecutive super-G win.
"I was a little passive on the bottom of the course and not quite as clean as I should have been on some of the left footed turns," Vonn said. "In general my skiing was solid, I'm right there. I just need to be a little bit more aggressive."