The Ducks won at home for the ninth straight time. They returned to Anaheim after a six-game road trip on which they went 3-3.
Hiller signed a four-year contract extension last week and celebrated that milestone by blanking Florida for the sixth shutout of his career. He followed that up with a tremendous effort against the Red Wings, who lost for the eighth time in 11 games.
Ryan Whitney opened the scoring for Anaheim just 71 seconds into the game and Kyle Chipchura made it 2-0 with 3:47 left in the opening period.
Bobby Ryan scored on a slapshot midway through the second for the Ducks. Detroit's lone goal came from Pavel Datsyuk on the power play with 10 seconds to go in the second period.
Anaheim and Detroit have split their four meetings this season.