The Hurricanes are 6-1-0. Their previous best start was 5-2-0 in 1996-97, their last year as the Hartford Whalers.
"We're finding ways to win and we've done it different ways, which is good," Hurricanes forward Jordan Staal said. "It's been a good start, but (it's) going to be a long season. It's a marathon and we're going to keep going."
WATCH: [All Hurricanes vs. Kings highlights]
Petr Mrazek made 31 saves for his 19th NHL shutout, and Martin Necas and Sebastian Aho scored for the Hurricanes.
Jack Campbell made 21 saves for the Kings (2-4-0), who lost consecutive games for the first time this season.
"We're chasing parts of our game right now that we have to continue to work on, but I wasn't real disappointed in the effort or the will to get things done," Kings coach Todd McLellan said. "Some of the execution wasn't good, but we have to give the other team credit for getting in the way sometimes too."
Necas gave Carolina a 1-0 lead at 4:16 of the second period on a one-timer in the slot from a pass by Ryan Dzingel. Necas extended his point streak to four games (one goal, three assists).
Erik Haula also had an assist to extend his point streak to three games (two goals, one assist). Dzingel, Haula and Necas have combined for 17 points (nine goals, eight assists).
"We're having fun," Necas said of their line. "You're always having fun when you are playing good. Both guys are, like, really, really big. They can skate. They can make plays. Yeah, we like to play together."
Kings defenseman Drew Doughty had to be helped to the dressing room following a check into the boards by Staal that drew a boarding penalty with 1:14 remaining in the third period. McLellan said Doughty was being evaluated.
"Apparently he feels pretty good, so that's a good sign, and that's all I have for you right now," McLellan said.
Staal called the play unfortunate.
"I mean, I thought he saw me, and just kind of tried to finish him, and obviously not a great situation," Staal said. "I hope he's all right and it's unfortunate, I guess."
The Kings could not score on the subsequent 6-on-4, and Teuvo Teravainen's shorthanded shot into an empty net redirected off Aho's skate to make it 2-0 at 19:53.
Mrazek saved 17 shots in the first period, including five on the power play.
"It's always great to see a lot of pucks early in the game," Mrazek said. "They had the first power play right away, and that's going to help you in the game, help the confidence."