Jonathan Quick stopped 27 shots as the Kings beat the Coyotes 4-0, handing Phoenix its fourth consecutive shutout loss away from Arizona. The only other team since expansion to be shut out in four straight road games was the 1967-68 Oakland Seals.
Toffoli converted a pass from Jeff Carter for a second-period power-play goal that made it 2-0 -- then received a standing ovation from the packed house of 18,118 at Staples Center.
"It was incredible," he said of the fans' reaction to his goal. "I didn't expect that. I just had goose bumps, and it was a great feeling.
"Any kid dreams to play in the NHL and to score, and to be playing with the linemates I'm playing with now, it's an honor, and I just want to keep playing my game."
The Kings improved to 11-2-1 at home and moved into fourth place in the Western Conference with 34 points. Phoenix fell to 13-12-4, including 0-2-1 on its current road trip. The Coyotes haven't scored a goal away from Glendale since winning 4-2 in Vancouver on Feb. 26, and they haven't scored anywhere in 185 minutes and 10 seconds since Rob Klinkhammer's third-period goal in a 5-2 home win against Los Angeles on March 12.
Quick earned his first shutout of the season after recording 10 in 2011-12.
"It's a win, two points. No matter how you do it, it's still two points," Quick said in downplaying the importance of the shutout. "It's good to get the win. It's going to mean nothing tomorrow, so we've got to get ready for tomorrow."
It's been an up-and-down season for Quick, who won the Conn Smythe Trophy as playoff MVP last spring but has struggled at times.
"I felt good tonight, if that's what you mean. I felt good tonight," he said. "You make a couple saves, you give your team a chance to win, and then in the third period the guys put it away."
The Kings opened the scoring by capitalizing on their first power play. With Martin Hanzal off for high-sticking, Muzzin fired a slap shot from the top of the right circle that clicked off a defender and beat Mike Smith at 6:01 of the first period for his sixth of the season.
Coyotes coach Dave Tippett said failing behind early put his team in a big hole.
"In our situation it's tougher to chase with a lead," he said.
Los Angeles gave the Coyotes a power play 2:00 into the second period when Trevor Lewis was called for high-sticking. But the Kings had the best scoring chance when Kopitar's pass sent Dustin Brown in on a breakaway. Brown fired from between the hash marks, but Smith stopped him and directed the shot to the corner.
The Kings made it a two-goal game at 8:39 with their second power-play goal. Toffoli scored his first NHL goal by beating Smith from just off the left corner of the crease. Jarret Stoll's straightaway 55-footer was blocked and caromed to Carter, who slipped a pass to a wide-open Toffoli for the put-away.
"I got a good bounce of their D-man and [Carter] made a nice play to me, and I just shot it," Toffoli said.
Tippett said allowing the Kings to score twice on the power play turned the game.
"We got ourselves in trouble with a couple of penalties," Tippett said. "They capitalized on them and it changed the outlook of the game."
The Kings put the game away with two goals in a 71-second span of the third period.
Kopitar scored his ninth of the season at 6:22. Justin Williams' pass sent Kopitar racing through center ice into the Coyotes' zone, and his shot from above the top of the left circle appeared to tick off the stick of defenseman David Schlemko and beat Smith.
Carter ended Smith's night at 7:33, ripping a rocket from well inside the right circle over Smith's glove for his team-high 18th of the season.
"I think we had a couple of opportunities there in the first, second period that we took advantage of, and then obviously in the third we took advantage of a couple more" Quick said of his team breaking the game open. "You kind of smell a little blood in the water, and guys really jumped on it and put the game away a little bit earlier in the third, so it was good. It's good to see that."
Tippett said his team can't get down on itself despite the offensive slump.
"I'm more upset about giving them an early lead on power plays than [our] chances not going in. We've got to regroup and get ready for another big game tomorrow.
"We just have to keep pounding away at it and hope we get some luck. There's no time to get down now. We have to keep pushing forward. We've got to find some people to get the job done."
Material from team media was used in this report