The streaking Habs improved to 3-1 on a five-game road trip thanks to the comeback, in which they erased a 3-1 deficit in the final frame.
Carey Price earned the win with 20 saves.
Struggling Tampa Bay got a league-leading 19th goal and an assist from Steven Stamkos but still stumbled to their seventh loss in eight games.
Cedrick Desjardins made 25 saves for the Bolts.
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