Artturi Lehkonen had a goal and two assists, and Nick Suzuki and Tyler Toffoli each had a goal and an assist for Montreal (8-29-7), which has lost six straight games (0-4-2) and 12 of its past 13 (1-8-4).
"Losing's not easy," Canadiens forward Brendan Gallagher said. "Obviously, expectations are different right now than they were coming into the season or any other season. It doesn't change the fact that you want to win hockey games. It's frustrating.
"You want to be able to leave the rink feeling good about yourself and when you're losing you're searching for solutions, and it's not there. But we're going to keep working, keep trying to find that environment. The one thing you can never lose is your culture. The minute losing feels normal or you're numb to losing, you're probably playing the wrong sport."
Sam Montembeault allowed three goals on seven shots before being replaced in the first period by Cayden Primeau, who made 26 saves on 28 shots. It is the fourth straight game Montreal has pulled its goalie and the second straight for Montembeault, who allowed six goals on 16 shots before being replaced to start the third period in a 7-2 loss to the Edmonton Oilers on Saturday.
"They've had some tough luck with their goalies, so we just wanted to shoot as many pucks as we can," Laine said.
Suzuki gave Montreal a 1-0 lead at 1:19 of the first period.
Laine tied it 1-1 at 3:51 when he scored on a wrist shot from the top of the left face-off circle.
"I saw a little bit of an opening on the short side, so I just tried to hit it and happy obviously it went in," he said. "It was a big goal for us and our line after going down by one."