Jake Guentzel and Anthony Cirelli each had a goal and an assist for the Lightning (31-13-4), who are 13-0-1 during the streak. Nikita Kucherov had two assists, and Andrei Vasilevskiy made 22 saves.
Tyler Toffoli scored for the Sharks (25-21-3), who were coming off a 4-1 win at the Florida Panthers on Monday. Yaroslav Askarov made 16 saves.
Toffoli gave San Jose a 1-0 lead at 14:37 of the first period. William Eklund got control of the puck following a face-off win by Alexander Wennberg in the left circle, skated around the net, and had his wraparound attempt deflect in off Toffoli, who had inside position on Charle-Edouard D'Astous.
Hagel responded 33 seconds later to tie the game 1-1 at 15:10. After Kucherov forced San Jose into a turnover in its own zone, Cirelli settled the puck in the right circle and found Hagel at the far post for a backdoor tap-in.
Cirelli then gave Tampa Bay a 2-1 lead at 1:49 of the second period. Hagel took a backdoor pass from Kucherov at the left post before wrapping it around to the right post, where Cirelli poked it past a sprawling Askarov.
Guentzel extended the lead to 3-1 at 3:17. Gage Goncalves intercepted the puck along the left boards and sent a pass down to Dominic James, who found a wide-open Guentzel for a one-timer from the right hash marks.
Hagel added an empty-net goal at 17:41 of the third period for the 4-1 final.
