Kucherov has 1,138 points (405 goals, 733 assists) in 890 games with Tampa Bay, breaking a tie with Steven Stamkos, who now plays for the Nashville Predators. Stamkos had 1,137 points (555 goals, 582 assists) in 1,082 games.
Dmitri Simashev, who scored his first two NHL goals, won it at 1:44 of overtime after tapping in a pass from Barrett Hayton from the left post on the rush.
Dylan Guenther and Anders Lee also scored, and Vincent Trocheck had two assists for the Mammoth (8-4-0), who had lost two of three (1-2-0). Karel Vejmelka made 28 saves.
Jake Guentzel and Brayden Point scored for the Lightning (7-3-1), who have lost two games in a row, including a 6-3 loss at the Colorado Avalanche on Friday. Dennis Hildeby made 23 saves.
Guentzel gave Tampa Bay a 1-0 lead at 5:10 of the first period, firing a shot from the point that went in off the stick of Nate Schmidt through the legs of Vejmelka.
Kailer Yamamoto tied it 1-1 at 7:02 when his pass across the crease deflected off the stick of Emil Lilleberg and past Hildeby.
Pontus Holmberg put the Lightning back ahead 2-1 at 10:06 on a wrist shot over the shoulder of Vejmelka.
Point’s power-play goal extended it to 3-1 at 12:42, tapping in a shot from Kucherov.
Guenther scored on the power play to cut it to 3-2 at 17:39 with a one-timer.
Conor Geekie made it 4-2 at 5:32 of the second period, lifting the puck over Vejmelka’s glove.
Lee cut it to 4-3 at 14:39, deflecting a bouncing puck off a shot from MacKenzie Weegar.
Simashev tied it 4-4 with his first goal at 17:02, sending a wrist shot past Hildeby blocker side.