With his team trailing 2-1, Getzlaf shifted to his backhand to whisk the puck past Kings goalie Jason LaBarbera for his second goal of the game to draw the Ducks even with 11:58 to play.
"Right now things are going in for me and it's the result of the teammates around me," said Getzlaf, who skated on a line with Corey Perry and newly acquired Brian Sutherby Sunday. "I think we are moving the puck real well and the puck's finding the net."
"One hit the left post, one hit the right post and then it hoped on my stick," Kunitz said. "It's nice to get one in, I felt the puck was (not bouncing our way) but it's nice to get one at the end."
The late rally allowed the Ducks to close out a 10-game stretch against Pacific Division teams with a 6-2-2 record, earning 14 of a possible 20 points. The defending champions moved within two points of Dallas for the division lead.
Getzlaf has been a big part of the team's success during this stretch. His two goals against the Kings extended a career-best, eight-game point streak, during which he has six goals and six assists.
The Ducks signed Getzlaf, a third-year pro, to a five-year, $26.625 million contract extension with the Ducks last Tuesday.
"He's obviously coming into his own," said Kunitz. "He's a person we can build the team around. He definitely picked our team up tonight with a couple goals."
The Kings had an extended two-man power play in the final minute and pulled their goalie for a 6-on-3 advantage, but could not beat Ducks goalie Jean-Sebastien Giguere (23 saves).
"We got a couple (shots) off there, that's what we've got to do," Los Angeles defenseman Rob Blake said. "When there was minute left they did a good job of standing up and getting (the clock) down. You've got to shoot it."
The Kings lost for the fifth time in six games.
"We have to get to the point where if we have the lead in third that doesn't happen," said forward Dustin Brown, who scored his 10th goal of the season in the first period to give the Kings a 2-0 lead. "We had the opportunity to win that game tonight. We have to get to that level where it doesn't happen."
Sunday's contest was the fifth of eight meetings between the Southern California rivals and the third game in the past 13 days.
The teams opened the season by splitting a pair of 4-1 games in London on September 29-30. The Ducks took a 4-3 shootout victory against the Kings at home on Nov. 13 and a 6-3 victory in Los Angeles two nights later.
Seconds after shutting down the Ducks' third power play of the opening period, Mike Cammalleri skated down the right wing and sent a backhand pass through the crease for Kyle Calder to tap in and give Los Angeles a 1-0 lead.
Brown made it 2-0, swiping in a rebound of a shot by Blake during a Kings power play with 20 seconds to play in the first.
- Veteran Jon Klemm made his first appearance for the Kings after being recalled from AHL Manchester on Saturday. Normally a conservative, stay-at-home defenseman, Klemm skated as a forward on the Kings' fourth line. He had previously played in 751 NHL games over 14 seasons before signing with the Kings as a free agent this summer.
- Ducks forward Drew Miller missed a second game with a strained left knee. He is still considered day to day.
- Kings forward Alexander Frolov was also out for a second successive game with a groin injury.