Miller had the best time in the downhill leg and then held off a charge from defending champion Swiss Carlo Janka in the slalom. Miller's two-run time was 2 minutes, 35.96 seconds. Janka finished in 2:36.33, just ahead of his countryman Silvan Zurbriggen, whose time was 2:36.38.
It was the 32nd World Cup victory and third Super Combined title for Miller, who hadn't won since March 2008. He is the first American to win the Lauberhorn combined since Buddy Werner in 1958.
Miller's downhill time of 1.46.91 was worth the lead, despite what Miller said were two errors on the course, and Janka, 1:47.60, was second. The Swiss skier completed the slalom in 48.73 seconds, leaving room for Miller to win the race with a second leg time of 49.05.
Benjamin Raich ( 2:36.67) finished fourth Friday and retained the lead in the World Cup overall standings with 689 points, 32 more than Janka.
Swim Week Miami Beach 2014 [PHOTOS]