Alexander Kerfoot had a goal and an assist, and Adam Edstrom scored two empty-net goals for the Predators (2-1-1). Josi and Steven Stamkos each had two assists, and Juuse Saros made 32 saves.
Nick Suzuki and Alex Newhook scored for the Canadiens (1-2-1), who have lost lost three straight (0-2-1).
Jacob Fowler made 15 saves in his season debut. The 21-year-old goalie was recalled from Laval of the American Hockey League on Wednesday after Samuel Montembeault sustained a lower-body injury at practice.
Chris Kreider appeared to put Montreal up 1-0 at 1:36 of the first period when he lifted the rebound from a Newhook shot off Saros' right pad from in tight. Nashville challenged the play for offside, and the goal was overturned after a video review.
Suzuki gave the Canadiens a 1-0 lead while the teams skated 4-on-4 at 3:12 of the second period. He collected a puck that came loose during a scramble and banked a backhander from the edge of the left circle through the five-hole off Saros’ left pad. It was Suzuki's third goal in four games.
Newhook made it 2-0 at 8:50. He flipped a shot over Saros’ glove on a centering pass from Josh Anderson, whose forechecking caused Predators defenseman Adam Wilsby to the puck over behind the net.
Kerfoot cut the lead to 2-1 at 15:06, tipping Wilsby's point shot from in front for his first goal with the Predators.
Matthew Wood tied it 2-2 when he scored a power-play goal off a pileup in the crease at 19:28. Prior to the goal, the net became dislodged after Anderson hit Stamkos into the left post, but the goal was upheld after a video review.
Saros denied Anderson on a breakaway with a left-pad save at 11:13 of the third period to keep it a one-goal deficit.
Edstrom scored a pair of empty-net goals at 17:23 and 18:34 for the 5-2 final.
