Francois Beauchemin, Travis Moen, Chris Pronger and Samuel Pahlsson scored, Rob Niedermayer had two assists and Anaheim killed seven penalties.
The victory allowed the Ducks (1-4) to avoid the worst start in franchise history. Anaheim started the 2003-04 season with four regulation losses and an overtime setback, earning a single point in their opening five games.
San Jose goalie Evgeni Nabokov allowed all four goals in the first 20 shots after giving up four total goals in his first three starts.
After killing a lengthy 5-on-3 San Jose advantage, the Ducks opened the scoring on Beauchemin's first goal of the season, a blast from the right point with 1:47 to play in the first. Kent Huskins and Ryan Getzlaf picked up assists, the first point of the season for Getzlaf. He led Anaheim in scoring last season.
Niedermayer picked up his first assist, keeping a loose puck alive in the slot for Moen to swat it past Nabokov 3:56 into the second.
The Sharks had six power-play chances in the first 29 minutes, but couldn't beat Giguere, who had given up 13 goals in his first three starts, including four in an opening night loss at San Jose on Oct. 9.
Pronger fired a 50-foot slap shot past Nabokov 1:50 into the third to end an 0-for-15 start for the Ducks' power play this season. San Jose led the NHL in penalty killing last season and had killed 16 of 19 chances before Pronger's goal.
Niedermayer added his second assist in the third, sending Pahlsson in for a breakaway goal against Nabokov with 10:06 to play.
Notes:@ San Jose forwards Tomas Pilhal (lower-body injury) and Milan Michalek (upper body) and defenseman Doug Murray (hand) were scratched. ... Sharks forward Brad Staubitz made his NHL debut, brawling with Ducks defenseman Nathan McIver in one of three first-period scraps between the division rivals.