Gibson made 23 saves for his second shutout of the season, and the Ducks stopped the Sharks' seven-game road winning streak with a 1-0 victory on Friday night.
''When we work hard and defend and do the right things, we're going to be successful,'' coach Bruce Boudreau said. ''They were a pretty determined group tonight. We've had a couple of games where we played good, then let it slip away and got nothing from it. Tonight we didn't.''
Mike Santorelli's fourth goal early in the third period was enough for Gibson, who handed the Sharks their third shutout loss this season and second against Anaheim. The last time the teams met, Anton Khudobin made 31 saves in a 1-0 win on Nov. 7 at San Jose.
The Pacific Division rivals have played three times this season and combined for just four goals.
''There's not a lot of room out there and you have to fight for all your ice,'' Anaheim's Nate Thompson said. ''I thought we did a tremendous job in the third period. We made sure we didn't give them a whole lot.''
The Sharks managed just two shots on net in the third, including a 45-foot slap shot by defenseman Brenden Dillon with 7 seconds on the clock. Gibson said afterward that he didn't see it.
''That might have been our best third period, as far as shutting teams down,'' Boudreau said.
Patrick Marleau's goal-scoring streak ended at four games, thanks to the defensive effort of the Andrew Cogliano-Shawn Horcoff-Carl Hagelin line. Marleau has had six streaks of five or more games, including a five-game stretch during the 2006 playoffs. His career high is six games, in 2001-02 and 2002-03.
Santorelli beat Martin Jones high to the glove side with a 25-foot wrist shot from the right circle after Thompson worked the puck away from Sharks captain Joe Pavelski behind the net. Thompson was playing in his second game after missing the previous 25 while recovering from shoulder surgery.
''It was just a good play by Santo down low,'' Thompson said. ''I just managed to get some body position on Pavelski and just kind of dug it off the wall. I saw Santo in the slot and he made a nice shot.''
Jones made 25 saves. He got a break when a screened 35-foot wrist shot from the slot by Anaheim defenseman Sami Vatanen hit the right post during a power play at 4:11 of the first period.
The Ducks had another great scoring chance about 13 minutes later, but Jones robbed Thompson at the doorstep after Santorelli found him all alone with a cross-ice pass from the right circle.
''Both goalies were great,'' Sharks coach Peter DeBoer said. ''It just came down to whoever was going to get that first goal was going to win. We outshot them pretty badly in the second period and had some really good chances, but didn't cash in.''
Gibson made his fifth straight start with Frederik Andersen sidelined by the flu. He had 25 saves in a 4-0 home win against Vancouver on Monday.
''Gibby played great, and we did the fundamental things really well,'' Boudreau said. ''We could have scored more goals, but unfortunately, we're sort of snake-bit this year.''
The Ducks were 0 for 4 with the man advantage, and are just 3 for 52 against the Sharks' penalty-killing unit in 18 meetings since the start of the 2012-13 season. The three goals were by Nick Bonino, Mathieu Perreault and Matt Beleskey - none of whom are still with the club.
NOTES: There are still 16 games left on the 41-game suspension for San Jose LW Raffi Torres after his hit on Ducks RW Jakob Silfverberg during a preseason game on Oct. 3. Torres is eligible to return to the lineup Jan. 14. ... San Jose was 0 for 4 on the power play. The Ducks came in with the league's best percentage on the penalty kill (87.0), allowing 12 goals in 92 short-handed situations.