The loss brought the Lightning’s win streak to an end at four games and the Canadiens finished their four-game road trip with a 1-2-1 record.
Montreal’s fourth line brought the Canadiens even for the second time in the game when Jesse Ylonen scored early in the third period to deadlock the score at 4-4.
Brayden Point scored a power-play goal with 15.6 seconds remaining in the second period to put the Lightning ahead after the Canadiens twice battled back from a two-goal deficit to tie the game at 3-3.
Brian Elliott was at the top of his game before Cole Caufield ignited a Montreal comeback when he scored at 8:53 of the second period. Caufield’s 15th of the season, which came on a 2-on-0 break with Rem Pitlick, was a goal-scorer’s goal as he shot off the crossbar and in.