Giguere made 23 saves for the Ducks, who lead the Sharks by five points. Anaheim has never finished higher than second in the division since joining the NHL in 1993-94.
Defencemen Chris Pronger and Francois Beauchemin each had a goal and an assist, Ryan Getzlaf cashed in on a power play and defenceman Shane O'Brien had two assists. Anaheim defencemen have combined for 67 points, the most in the league.
The Sharks began this eight-game season series without last year's NHL goal-scoring leader Jonathan Cheechoo, who missed his second game because of an injured left leg. They were shut out for the first time, something that didn't happen to them last season until their 47th game - a 2-0 home loss against Anaheim.