Kucherov made it 2-0 at 6:14 when he poked the puck past Jones from close range on a follow-up of his initial shot. He leads the NHL with 144 points (44 goals, 100 assists).
"He's got an amazing shot," Point said. "Forty-four goals this year for himself to go along with 100 assists. It's remarkable.”
Ryan Reaves sent a one-timer past Tomkins at 13:18 to cut it to 2-1.
Duclair extended Tampa Bay's lead to 3-1 at 6:37 of the second period when he punched in a rebound off a shot from Paul.
Hagel pushed the Lightning lead to 5-1 with a breakaway goal at 17:57.
Tanner Jeannot scored for the Lightning to make it 6-1 at 11:27 of the third period.
TJ Brodie scored his first goal of the season to make it 6-2 at 14:02. Pontus Holmberg cut it to 6-3 at 16:20.
"We have our sights on the playoffs," Maple Leafs forward Tyler Bertuzzi said. "But we’ve still got to perform better than we did tonight.”
John Tavares scored at 19:23 with the Maple Leafs using an extra attacker for the 6-4 final.
"We didn't want to go into this game and give up four goals, that was not what we wanted to do," Cooper said. "We wanted to win this game and do it the right way. But if we were going to give up four, it would've been cool if ‘34’ had gotten one of them. There's no doubt.
"We talked about the exploits of Nikita Kucherov, and Auston Matthews is right up there with him. He's a pure goal-scorer. He's going to [finish with] 69, but I think 70 is in his future and beyond."
NOTES: Matthews' 69 goals are tied for 15th all time (Lemieux and Mike Bossy). The last players to hit 70 goals in a season were Teemu Selanne and Alexander Mogilny, who both did it in 1992-93. ... Kucherov's 144 points in a season are 23rd all time. ... Lightning defenseman Victor Hedman (illness) was a late scratch. ... Point reached 90 points (46 goals, 44 assists) for the second straight season and third time in his NHL career.