Vegas scored 10 goals over Fleury's seven previous starts (2-5-0).
"It's fun to see them [score six goals]," Fleury said. "See a lot of different guys contribute also, get some goals and feeling good. I see the game is more relaxed when we get all those goals, but it's nice. I knew it was going to come at some point, and everything worked out today and we got a win."
Trevor Moore scored two goals for the Kings (16-20-6), who have lost six of eight. Jonathan Quick allowed three goals on eight shots in the first period before he was replaced by Cal Petersen, who made 21 saves.
"We've worked hard for a number of months right now, we've worked hard and we can't give it back," Los Angeles coach Todd McLellan said. "We may not win as many games as we want, but first of all, bring the effort. We'll help you with the structure and the execution part, but you've got to absorb some of that and put it into play as a player."