Los Angeles, which did not have a lead at any point during a three-game losing streak, was ahead 3-1 after the first period, when it outshot Anaheim 10-2.
"The first period was really good for us," Kings forward Adrian Kempe said. "We had really good breakouts that created a lot of odd-man rushes against them. We got some good chances and put the puck in the back of the net."
Daniel Sprong and Jakob Silfverberg scored, and Ryan Miller made 22 saves for Anaheim (27-34-9), which trails the Minnesota Wild by 11 points for the second wild card into the Stanley Cup Playoffs from the Western Conference.
"We tried to do a little too much with the puck early on, and it wasn't available," Miller said. "We didn't get a whole lot going for ourselves."
Brown scored between Miller's pads from the high slot to make it 1-0 at 6:22, ending the Kings' stretch of 186:22 without having a lead.
Sprong tied it on the Ducks' first shot at 7:27. Ryan Getzlaf took the puck from Quick behind the net and passed to Sprong in front to make it 1-1.
The Kings went back ahead 2-1 when Clifford scored from left circle after a long pass from Trevor Lewis at 10:37 of the first period. The goal was the eighth of the season for Clifford and set an NHL career high.
Grundstrom made it 3-1 at 16:25 when he took a centering pass from Kempe and pulled the puck away from Miller's poke attempt before scoring with a backhand.
"It was tough to create chances after the first period, so it was a good team that we played against today and it was tough to create chances for both perspectives," Grundstrom said. "I think we did a good defensive job today too."
Silfverberg made it 3-2 at 12:16 of the third period. He leads the Ducks this season with 19 goals.
"First half of the game, not even close to good enough," Silfverberg said. "We've been playing pretty good, but that was a step way back. We got flat-footed against a team that wanted it more. We kind of turned it on in the third period, but it was too late. You can't just play 20 minutes and expect to win."
