The Rangers dominated Overtime and were full value for Mika Zibanejad’s winning goal, almost 15 minutes in.
It was the Rangers’ 10th shot, to three for the home team.
The Canadiens dominated the second period until the dying minutes, when Rick Nash skated out of the corner and fed an unattended Brady Skjei for the goal that tied it up.
After a lively start during which the Rangers had the better chances, Artturi Lehkonen’s wraparound beat Henrik Lundqvist for the game’s first goal, 12 minutes in.
The visitors tied it up on Jesper Fast’s shorty, 16 minutes in.
But 25 seconds ends later. Brendan Gallagher restored the Canadiens’ lead, scoring on the PP with a 15-foot wrister.
Shots were 36-36.