Marner extended the lead to 4-0 at 13:29 when he put a slap shot over Quick's blocker from the top of the right face-off circle.
"I saw it come back in and sitting there," Marner said. "I don't really do those much but decided to try and lean into it and see what happened, and I got all of it this time around."
The Maple Leafs killed off a five-minute major penalty for intent to injure Engvall at 1:07 of the third period. The Kings thought they had scored at 4:43, but the goal was overturned after the Maple Leafs successfully challenged that the play was offside.
Matthews scored to extend his point streak to six games at 9:37 of the third period when he one-timed a pass in the slot from Nylander to make it 5-0. He has 10 points (five goals, five assists) during the streak.
"To be honest, I was a little uncertain about how we were going to come out here tonight," Toronto coach Sheldon Keefe said. "I just felt coming back from Dallas, it's a longer road trip even though we only played two games. We just traveled back yesterday, not much of a recovery day for us, and then right into a game day today, but obviously the guys responded really well."
NOTES:Maple Leafs forward Nicholas Robertson sustained a shoulder injury when he took a hit from Matt Roy at 9:18 of the first period. Keefe said he will miss "significant time." … Toronto's point streak record is 16 (14-0-2), from Nov. 22-Dec. 26, 2003. … Marner is the 10th player in 35 years to have a point streak of at least 21 games, and third active (Patrick Kane, 26, 2015-16; Sidney Crosby, 25, 2010-11). … Nylander has five goals in his past seven games. … Maple Leafs defenseman TJ Brodie had an assist, two shots and four blocked shots in 17:27 after missing 12 games with an oblique injury. … Toronto forward Denis Malgin had three shots in 12:56 after being a healthy scratch the previous three games. … Maple Leafs forward Michael Bunting had two assists to extend his assist streak to seven games (nine assists). … Kings defenseman Sean Durzi had his six-game assist streak end (eight assists). … Los Angeles forward Phillip Danault played his 500th NHL game. … The Kings went 0-for-3 on the power play after scoring at least one power-play goal in each of the previous seven games (11-for-20, 55.0 percent).