Nick Bonino tipped home a power-play goal in the first period to give the Ducks a 1-0 lead.
Detroit tied the game in the first period as they matched on the power play after a 5-on-3 expired. Daniel Cleary tipped home a hard Jakub Kindl shot from the faceoff circle.
Teemu Selanne wired home a wrist shot in the third period to restore Anaheim's one-goal lead, which turned out to be the game-winner.
Francois Beauchemin added an empty-net goal with under a minute to go to ice the game.
Anaheim Ducks 3, Detroit Red Wings 1, final score.