Cuche was clocked at 1 minute, 36.32 seconds on the super G course in Val Gardena, Italy, two one-hundredths of a second faster than Miller, the defending World Cup super G champion.
Marco Buechel of Lichtenstein was two one-hundredths of a second behind Miller. Didier Defago of Switzerland placed fourth followed by Canada's Erik Guay
The U.S. Ski Association said in a release that Miller was one of four U.S. skiers in the Top 30 of the event, which took place in good weather conditions. Miller said at the post-race news conference that his skis performed well, but his execution was just not sharp enough to overcome Cuche.