But a penalty soon afterward opened the door for a key San Jose goal, as Joe Thornton found the net on a slap shot from the left wing.
Brandon Montour whiffed on a one-timer near the halfway point of the period, sending the Sharks going the other way, where Mikkel Boedker cashed in from the wing for his second of the night.
The Sharks put the game away with just under five minutes left when Melker Karlsson ripped a slap shot past goalie Ryan Miller, who subbed in for John Gibson midway through the third.
The Sharks had played last night in San Jose, but it was the Ducks who looked like the more sluggish team tonight.
"It's very disappointing," said Rickard Rakell, who got his team-leading 17th goal tonight. "Really need to have a good stretch especially against divisional teams. We knew they played yesterday. We need to take advantage of that."
San Jose got the game's first goal with six minutes left in the opening period, when Tomas Hertl and Marc-Edouard Vlasic pulled off a give-and-go that finished with Vlasic burying one from the slot.
An Anaheim turnover unfolded into San Jose's second goal, finished off when Kevin Labanc faked a shot from the left wing then flicked it past Gibson.
The Sharks stretched it to a three-goal lead on the power play with six minutes left in the second on a snipe from the right wing circle by Boedker.
"We had some early chances in the game that we didn't score on," Rakell said. "They scored first instead. Maybe we got a little frustrated and that affected the way we moved forward. Maybe that was it tonight."
Anaheim got one back on a 5-on-3 following back-to-back Sharks penalties, with Rakell throwing the puck toward the crease and having it deflect in off the stick of San Jose d-man Justin Braun.