Kucherov has 1,137 points (405 goals, 732 assists) in 888 games with Tampa Bay. Stamkos, who now plays for the Nashville Predators, had 1,137 points (555 goals, 582 assists) in 1,082 games.
Anthony Cirelli scored twice but did not play in the third period for the Lightning (7-2-0), who have won three in a row and seven of eight. Andrei Vasilevskiy made 32 saves.
Mark Stone and Ivan Barbashev scored, and Carter Hart made 15 saves for the Golden Knights (8-3-0), who had won three in a row.
Brandon Hagel put the Lightning up 1-0 at 4:11 of the first period, redirecting Charle-Edouard D'Astous' shot from the point on a power play.
Barbashev tied the game 1-1 at 13:16 with his first goal of the season. He knocked in a rebound in front after Vasilevskiy stopped Marner's point-blank chance. The play started after D'Astous broke his stick while trying to clear the puck.
John Carlson put the Lightning back in front 2-1 at 14:04. Catching Vegas on a line change, Carlson's initial shot was stopped by Hart, but he got his own rebound below the right circle and shot into an open net.
Stone tied the game again 2-2 at 18:30 with a short-handed goal from the left circle. Braeden Bowman intercepted Vasilevskiy’s pass up the boards and sent a feed across to a wide-open Stone.
Cirelli responded at 6:44 of the second period to give the Lightning a 3-2 lead. He scored on a one-timer in front off a pass from Kucherov, who chased down a rebound below the goal line.
Cirelli then made it 4-2 at 10:09, scoring from the edge of the left circle after Jack Eichel turned the puck right over to him.
Victor Hedman pushed the lead to 5-2 at 17:56 with a shot from along the left boards.
Kucherov made it 6-2 at 5:16 of the third period, scoring on a breakaway after poking the puck away from Jeremy Lauzon at the blue line.
