Nicholas Robertson extended the Maple Leafs lead to 3-0 at 8:39 with a wrist shot from a sharp angle that beat Vasilevskiy top shelf.
"It's a relief, obviously it's been a while, I'm just happy to get on the board there and it felt pretty good," Robertson said. "I saw [Vasilevskiy] open up his shoulder ... I just took my shot and it went in.'
Berube said of Robertson: "He's working hard, no problem with the work ethic. I talked to him today about getting on the inside more, getting around the net and scoring some greasy goals, but it was great to see him get one for sure."
John Tavares made it 4-0 at 18:59 when he scored off a rebound, using the backhand to send the puck in the net.
Michael Eyssimont made it 4-1 at 11:21 of the third period with a one-timer from the circle that deflected off of Woll's pad and into the net.
Jake Guentzel scored at 15:19 with the Lightning adding an extra attacker in place of Vasilevskiy to make it 4-2. Hedman had the second assist on the goal, giving him the Lightning career record.
"Obviously I didn't expect, going into this league, having a record like that," Hedman said. "I hope to enjoy it for a few weeks or months before ‘Kuch’ passes me. It's humbling and it's something I'm proud of. I want to produce and I've been put in spots where I was able to do that and play with some unbelievable players that put the puck in the net."