Chiarot cut it to 2-1 at 17:40 with a shot from the right point that deflected off two Lightning. It was Chiarot's first NHL playoff goal in his 52nd game.
"Obviously, they were going to have a good push at the start of the game," Chiarot said. "Game 1 in their building, we knew they were going to come out pretty hard at the beginning. Once we settled in there into the second period, I thought we got our game going a bit better … and then a couple bad bounces maybe didn't go our way tonight."
Kucherov made it 3-1 at 2:00 of the third period after Chiarot swatted his shot with his hand and then accidentally knocked in the puck with his stick.
"You know not much I had to do, I was just trying to throw it on the net and see what happens," Kucherov said. "Fortunately, it was a lucky bounce for us. I thought it was a Pally goal."
Kucherov made it 4-1 at 11:25 with a wrist shot from the top of the slot off a face-off win by Point.
"'Pointer' is an unbelievable player," Kucherov said. "He knows when and what to do at a certain time, and he's a [heck] of a player. He sees the ice to make those plays. It's just who he is. It's fun to play with him, and he's been unbelievable for us."
Stamkos extended the lead to 5-1 with a power-play goal at 18:50. The goal ended the Canadiens' streak of 32 straight penalty kills since Game 4 of the Stanley Cup First Round against the Toronto Maple Leafs, including 30 straight over the previous 13 games.
"We take it, we take tonight, we bottle it up," Lightning coach Jon Cooper said. "I'm happy we won and … we'll move on to the next one and hopefully we can have the same consistent effort."
NOTES: Kucherov became the fifth player in NHL history to have multiple 30-point playoff seasons, joining Wayne Gretzky (six), Mark Messier (three), Jari Kurri (two) and Mario Lemieux (two). … Tampa Bay forward Alex Killorn (undisclosed) took one shift at the beginning of third period and did not play the final 19:04. Cooper said he didn't have an update. … The Lightning lost Game 1 in their three previous Cup Final appearances (2004, a seven-game victory against the Calgary Flames; 2015, a six-game loss to the Chicago Blackhawks; and 2020, a six-game victory against the Dallas Stars). … Point has a six-game point streak in the Cup Final dating to Game 2 last season (11 points; five goals, six assists). … Canadiens forward Joel Armia did not play after being placed in NHL COVID-19 protocol Sunday. He flew to Tampa from Montreal on Monday and was removed from protocol. Jake Evans replaced Armia after missing nine games with a concussion sustained against the Winnipeg Jets in Game 1 of the second round. Evans had three hits and one shot on goal in 11:55. ... Montreal forward Cole Caufield became the second player to play in the Cup Final and win the Hobey Baker Award, voted annually for the top men's player in NCAA Division I ice hockey, in the same season. (Neal Broten, Minnesota North Stars/University of Minnesota, 1981). Caufield, from the University of Wisconsin, was minus-3 with two shots on goal in 14:28. … Center Jesperi Kotkaniemi, 20, had an assist to become the sixth player in Canadiens history to score a point in the Cup Final at age 20 or younger. … With Price and Vasilevskiy facing each other, this is the fourth Cup Final since 1981 when two Vezina Trophy winners have met and first since 1999 (Ed Belfour for the Stars and Dominik Hasek for the Buffalo Sabres).