Victor Hedman had three assists, and Andrei Vasilevskiy made 35 saves for the defending Stanley Cup champion Lightning, who are the No. 3 seed in the Discover Central Division.
Jonathan Huberdeau had a goal and two assists, and Bobrovsky made 35 saves for the Panthers, the No. 2 seed. Aleksander Barkov and Owen Tippett, playing his first Stanley Cup Playoff game, each had a goal and an assist for Florida.
"Very intense game," Panthers coach Joel Quenneville said. "There was a lot going on out there. Their power play was the difference tonight. In 5-on-5, we were OK, but their special teams, the goals there, but they made a nice play on the winner. We got possession, and it's on our net. Every shift is so critical against that team because they make something out of nothing. These are things we can take from that game and learn from and improve. It was a heck of a hockey game."
Point tied it 4-4 at 13:00 of the third period with Tampa Bay's third power-play goal.
It was the fourth playoff game in NHL history with four lead changes.
"A win is a win," Lightning coach Jon Cooper said. "Whether you blow a team out, you win by one goal, you come back to do it, you just want to win. It was a [heck] of a hockey game. It was fun to be a part of. But you've got to find a way. I was proud of the guys. We had the one-goal lead going into the (third) period, and then we coughed it up, but there was just no panic on the bench and they found a way, and they've done it so many times. Just another example tonight."
Huberdeau tied it 3-3 at 1:27 of the third period when he scored on a breakaway.
Tippett gave Florida a 4-3 lead at 4:09 off a spinning pass from Huberdeau.
"We got the lead, we got the excitement, we got the momentum," Quenneville said. "They make a nice play (to tie the game), and next thing you know, we're still in the ballgame. I thought we played well after 4-4, and they made a nice play, and that was the difference."