Chris Kreider scored early in the third period to give the home team some life.
But Jordie Benn’s point shot five minutes later made it 4-1.
Almost 13 minutes into the game, Steve Ott won a draw cleanly and Shea Weber’s shot ticked off Rangers Dman Adam Clendening and past Henrik Lundqvist to open the scoring.
Nine minutes into the second period, Artturi Lehkonen’s 12th made it 2-0.
Ten minutes later, Lundqvist lost track of the puck and Andrew Shaw’s wraparound made it 3-0.
Canadiens had a 35-27 show advantage.