Kucherov increased the lead to 2-0 when he scored his second goal at 12:11. Point passed to Goncalves on a 2-on-1 into the offensive zone, and Goncalves' shot rebounded off the glass behind the net. Point collected the puck and fed it to Kucherov from below the goal line, where he then sent it over a diving Fowler from in front.
Paul made it 3-0 at 14:49, burying a rebound from in tight off an initial shot from Bjorkstrand.
"Flying home last night, little sleep, 5 o'clock game, under 24 hours, you've got to shake it out in the first and try to get that going," Paul said. "Just one of those games where you've got to dig down even when the legs feel heavy. You've got to find that extra gear and get in the zone."
The Canadiens scored four times in the third period to rally from a three-goal deficit.
Demidov cut the deficit to 3-1 at 1:06 of the third period. Slafkovsky slid a no-look pass to the slot as he skated behind the net, and Demidov snapped it past the left pad of Johansson.
"Sometimes the game is hard and you've got to keep playing," Montreal coach Martin St Louis said. "That's what we did tonight. I'm really proud of the way the guys fought in the third and stuck to it."
Holmberg extended it to 4-1 just 34 seconds later at 1:40, setting up in the left face-off circle and tipping a shot from Bjorkstrand over Fowler's blocker.
Slafkovsky made it 4-2 with a wrist shot from the high slot past Johansson's glove at 9:16.
"It's always good to put a couple of goals in, I feel like I'm going in the right direction." Slafkovsky said. "I just have to keep working. Like I said, It's just too bad that we can't smile a little more right now and enjoy the two points, but the one point is good."