The first team to advance this year, the Canadiens also got goals from Daniel Briere, Brendan Gallagher and Lars Eller.
PHOTOS: Eastern Conference first round
Ondrej Palat had a goal and an assist for Tampa Bay. Victor Hedman pulled the Lightning within one goal three minutes into the third period, and Tyler Johnson tied the game three minutes later.
Lightning backup goaltender Kristers Gudlevskis replaced Anders Lindback after Gallagher's goal 5:42 into the second period. Lindback gave up three goals on 20 shots, while Gudlevskis stopped 16 of 17 shots in relief.
