Paul gave the Lightning a 1-0 lead at 15:40 of the first period with a power-play goal, scoring from the slot on the rebound of Hagel's shot.
The goal came on the second of a double-minor penalty to Kent Johnson for high-sticking.
“[Vasilevskiy] made some big saves early,” Stamkos said. “Once we scored that goal, a great goal on the power play by Paul, I think we got some life. We had a pretty good response after that.
“It kind of went south a little bit in the third, but after the two games we had coming out of the break, we needed two points.”
Cirelli scored 49 seconds of the second period to make it 2-0, finishing with his backhand on a breakaway after receiving a pass in the neutral zone from Hagel.
“I just tried to make a move and go upstairs, and luckily it went in,” Cirelli said.
Stamkos scored 23 seconds into the third period with a one-timer from the left circle on a power play to push it to 3-0.
Jenner cut it to 3-1 at 12:22, scoring at the right post off a cross-crease pass by Gaudreau. He then made it 3-2 at 15:50 with a redirection on the power play.
“I liked the way we just stuck with it, and we knew we'd get rewarded if we didn't change anything,” Jenner said. “They started to go in in the third, but obviously we came up short and they were able to get the last one.”