Fiala made it 5-1 at 12:55 of the second period when he scored glove side with a wrist shot on a power play.
Chabot's one-timer from the point beat a screened Copley on a power play to cut it to 5-2 at 9:34 of the third period.
"You're not going to play perfect every single night," Chabot said. "But once you start a game and you see it's not going your way, then I think you take a step back as a team and you play a system. You play the way we know we can have success, and we didn't do that tonight."
Copley then made seven saves, including a sliding toe stop on Ottawa forward Claude Giroux at 12:08.
"It was kind of a broken play and it ended up that [Giroux] had an open net and I just tried to push over and get whatever I could in front of it and, fortunately, it hit the blade of my skate," Copley said. "Sometimes you get lucky, I guess."
Kings forward Alex Iafallo had one assist in 12:34 of ice time after missing 23 games with a lower-body injury.
"He's just steady," McLellan said. "He does a lot of little things. You could see early in the first period, he was ready to go. I'm sure his legs and his hands probably don't feel as good as he'd like them to, naturally, but his mind was sharp. He went to the right spots and had a real good sense of timing."
NOTES: Durzi had two assists to extend his point streak to six games (one goal, eight assists). … Kopitar has 24 three-assist games, tying him with Bernie Nicholls for the fourth-most in Los Angeles history. Only Wayne Gretzky (67), Marcel Dionne (43) and Dave Taylor (28) have more.