Hischier, whose father was in attendance, scored the winner on a wrist shot from the left side for his second overtime goal of the season after tying the game 2-2 at 11:26 of the third period.
\[WATCH: All Devils vs. Canadiens highlights\]
"It's always good when I have family coming over, and it kind of pushed me for sure," Hischier said. "But I couldn't score and he probably would say I had a good game, so it doesn't really matter."
With forward Travis Zajac injured, Hischier was designated one of New Jersey's alternate captains by coach John Hynes.
"We felt as though he deserves it and he made good on it, too," Hynes said. "He played extremely well with that letter on his chest."
Mackenzie Blackwood
made 37 saves, and Will Butcher scored one of two power-play goals for the Devils (20-24-7), who have won two of their past three games.
"There were lots of pushes and surges in the game either way," Hynes said. "We got some very good goaltending when we were under siege and that allowed us to be able to stay with it. But I think collectively as a group we continued to battle and then eventually found a way to win the game."