The Panthers and Lightning, who will face each other in the first round of the Stanley Cup Playoffs, complete their regular seasons here Monday. The Panthers need one point to secure the No. 2 seed.
Alex Wennberg got his second NHL hat trick, and Jonathan Huberdeau and Sam Bennett each had a goal and an assist for Florida (36-14-5), which has won five straight games. Sergei Bobrovsky made 28 saves.
"It would be great (to finish second), but we're just looking to win the next game," Wennberg said. "Of course, you can look at the standings, but I feel like the focus is just to play the game and do what we can do. We'll see what happens. Obviously, we're going to do our best and we're excited to see where it's going to take us."
Andrei Vasilevskiy made 30 saves for Tampa Bay (36-16-3), which lost 5-2 to the Dallas Stars on Friday.
The teams combined for 31 penalties, including 19 in the third period, and 154 penalty minutes.
"These are games 55 and 56, not Games 1 and 2 of the playoffs," Lightning coach Jon Cooper said. "I'm sure guys would be a little more careful than they would in situations like this. The physicality may stay the same, but maybe the recklessness won't be there as much."
Wennberg gave Florida a 1-0 lead at 11:44 of the first period with a wrist shot from the top of the right circle.
Bennett made it 2-0 with a power-play goal at 3:07 of the second period. He has scored 15 points (six goals, nine assists) in 10 games since being acquired in a trade April 12 after scoring 12 points (four goals, eight assists) in 38 games with the Calgary Flames.
"Amazing, his production," Panthers coach Joel Quenneville said. "That line together (Huberdeau, Owen Tippett), they look for one another. They had a couple pretty looks there that could have easily gone in. He's really been effective in a lot of ways. He brings a nice element to our team in the middle of the ice."