"There's a lot of times I thought we deserved a better result, but tonight the result was on our side," Montreal coach Michel Therrien said. "We played the best team in the League in their building. They're really tough to play against, and the way that we came out gave us the confidence after the first period with a two-goal lead. That was important for us."
The Canadiens had a 3-0 lead after Tomas Fleischmann scored early in the second period, and they led 4-1 after Galchenyuk scored his second of the game and 16th of the season later in the period.
Brendan Gallagher scored in the first period for Montreal (29-27-5), which is 11-23-2 since Dec. 1, and goalie Mike Condon made 33 saves.
"We've been saying it all along, we've got a good character group and we're not giving up and we're going to keep fighting until the very end," Condon said. "For everybody, it was a huge win. We've got five out of our last six points and we've just got to keep it going. It's good to beat a team like that. That's a very, very good team."