Kucherov gave Tampa Bay a 1-0 lead when he scored 22 seconds into the game. He one-timed Hagel’s pass to score on a wrist shot past Allen’s glove from the right face-off circle.
Paul made it 2-0 at 7:15 when he put a rebound into an open right side of the net.
Alex Barré-Boulet pushed it to 3-0 on a power play at 9:09 with a shot from the right side that deflected in off Montreal defenseman Mike Matheson’s leg.
Michael Eyssimont put the Lightning up 4-0 at 13:50 when he banked a shot from a sharp angle inside the left post off Allen’s upper back.
Suzuki's power-play goal at 6:50 of the third period cut it to 4-1.
Pezzetta drew the Canadiens within 4-2 at 7:24 when he jammed in a loose puck in the crease.
Paul scored his second goal of the game, and Tampa Bay’s second on the power play, at 17:40 to make it 5-2.
“We wanted to respond after they scored two goals in the first part of the third period,” Barre-Boulet said. “I think we had a good response, we got back on offense, so I think we learned something in Toronto.”
Christian Dvorak scored with 19 seconds remaining for the 5-3 final.
“I don’t think there’s any quit in this room, and I think we’ve been down a few goals before,” Pezzetta said. “And you can look around the locker room and everyone knows that we’re going to come out and at least try the best we can to come back, and I think that’s positive for our group to just know the fight that’s in everybody.”
NOTES: Kucherov’s goal was the fastest to start an NHL game this season. He scored 13 seconds into a 5-2 win against the Buffalo Sabres on Nov. 25, 2019, and is the second Lightning player ( Teddy Purcell) to score within the first 30 seconds of a game twice. … Tampa Bay also scored four goals in the first period Monday. The Lightning are the first team to score four or more goals in the first period on consecutive days since the 1993-94 Los Angeles Kings accomplished the feat Dec. 31-Jan. 1 of that season. … Tampa Bay’s 10 goals in the past two games are the most it has scored on consecutive days since scoring 14 goals from April 23-24, 2022.