Andrei Vasilevskiy made sure that first period goals from Anthony Cirelli and Nikita Kucherov were enough for the Lightning to hold on and defeat the Canadiens.
Vasilevskiy backstopped the Lightning to their fifth-straight win on Thursday, making 38 saves in a 2-1 victory at the Bell Centre in Montreal.
The Bolts avoided another slow start on Thursday, with Anthony Cirelli giving Tampa Bay the lead just 42 seconds into the game. Cirelli got the Lightning on the board, deflecting an Erik Cernak shot past Carey Price to open the scoring.
The Canadiens tied the game at one five minutes later with Jeff Petry beating Andrei Vasilevskiy with a shot just after a Montreal power play expired.
Video: TBL@MTL: Vasilevskiy stymies Petry's late bid
A miscue by Price in front of the net allowed Tampa Bay to retake the lead midway through the period. Price was looking to set up Artturi Lehkonen but turned the puck over to Brayden Point who then found Nikita Kucherov wide open in front for the goal.
Vasilevskiy stole the show from there, making 27 saves over the final two periods as Montreal dominated possession. He came up with a point-blank save on a shot from Jordan Weal early in the second period and helped the Lightning kill off a Montreal power play late in the third period.
The win is Tampa Bay's second victory over the Canadiens in a six-day span after defeating the Habs 5-4 at Amalie Arena last Saturday.
Tampa Bay resumes the road trip on Saturday night against the Senators in Ottawa.
TBL | 0:42 Anthony Cirelli (10) - Erik Cernak
MTL | 5:48 Jeff Petry (6) - Nick Cousins
TBL | 8:28 Nikita Kucherov (14) - Brayden Point