Anaheim increased its lead in the Pacific Division to six points over Dallas and to nine over San Jose. The Ducks began an eight-game home stand.
San Jose has lost seven of its last nine to fall to sixth place in the West.
Giguere was protecting a 2-1 lead in the third period when Chris Pronger gave Anaheim some insurance by scoring on the power play.
San Jose's lone goal came 3:55 into the final period from Craig Rivet.
Celebrity Families of 2014 [PHOTOS]