Sean Walker also had a goal and an assist for the Kings (6-11-1), who were 0-2-1 in their past three. Jeff Carter scored, and Jonathan Quick made 27 saves to end a five-game losing streak.
"Tonight I think everybody was on their game, starting with Johnny back there," said Kopitar, who has five points (two goals, three assists) during his streak. "Our D corps was good. Forwards up front were making some plays, and we were obviously able to score some goals."
WATCH: [All Wild vs. Kings highlights]
Matt Dumba scored for the second straight game for the Wild (6-11-1). Devan Dubnyk made 32 saves.
The Wild alternated wins and losses to go 2-2-0 on their four-game road trip. Minnesota has won consecutive games once this season (Oct. 20-22).
"It's great that we're playing OK, but when you dig yourself a hole like we've done, you can't win one, lose one the rest of the way," Wild coach Bruce Boudreau said. "You got to put a little run together, and so far we haven't done that."
Carter made it 2-0 at 10:56 of the second period. Ben Hutton's shot deflected off Tyler Toffoli and fell to Carter on the edge of the crease, allowing him to score around an off-balance Dubnyk.
"You don't see that too often, that deflection. It was almost like he toe-dragged it out of the air. All you can do is watch it pretty much," Dubnyk said. "It's just one of those plays that is going to be in the net 99.9 percent of the time if it happens like that."
