Barclay Goodrow appeared to give San Jose a 1-0 lead at 7:02 of the first period, but Julien challenged the play for offside, and the goal was overturned after video review.
"I thought we had a good game," Labanc said. "I mean, it was a big game for us and we needed the two points. So we came out, we did that right from the get-go, we had a goal called back, but it didn't stop us. We just kept our foot on the gas pedal and came out of here with two points."
Cousins scored his first goal with the Canadiens to make it 1-0 at 16:36 of the first. After Dell made the initial save on his shot from the left face-off circle on a 2-on-1, Cousins gathered his own rebound, kicked the puck forward, and scored on a shot from a sharp angle.
Kane tied the game 1-1 at 19:05 of the first when Logan Couture's shot from the right side redirected into an open net off his skate.
"I thought we had a good start in the first period, the first five minutes, and then they started taking it to us," Kane said. "And [Dell] held us in there and kept it at a 1-0 game, and we were able to tie it."
Kane scored his second goal on the power play to give San Jose a 2-1 lead at 4:54 of the second period.
"This is the first year I've had an opportunity to play on the first unit, and I'm just trying to take advantage of that," said Kane, who has scored five of his six goals on the power play. "It's fun scoring 5-on-5, I've done a lot of that in my career, but it's definitely nice to get those power-play opportunities, and with one less guy out there for them, it makes it a little bit easier."
Labanc extended the lead to 3-1 at 8:08, scoring on a one-timer from low in the left circle off a pass from Hertl.
Karlsson scored his first goal of the season to push the lead to 4-1 at 19:24, beating Price blocker side from the right hash marks.
"It's definitely not ideal. It's a buzzkill, for sure," Price said about allowing a goal in the final minute of a period.
Armia deflected Max Domi's centering pass to cut it to 4-2 at 19:46 of the second.