Bennett pushed the lead to 2-0 at 7:39, lifting a shot from the slot over Swayman’s shoulder after A.J. Greer’s initial attempt was blocked.
Minten cut the deficit to 2-1 at 19:33 when he put in a rebound at the right post.
“It’s always nice to get one at the end of a period when you are down,” Minten said. “It’s kind of a reset going into the second. That did not end up being the case. They are as honest a team as there is out there. The way they play, they just put it behind you and make you go get it.”
Bobrovsky preserved the lead 39 seconds into the third when he dove at the right post and used his glove to knock down David Pastrnak’s shot from close range.
The Bruins went on a late power play at 16:39, but the Panthers penalty kill kept them off the board.
“These are important games and we’re winning games at the end of the day,” said Boston forward Morgan Geekie, who had three shots on goal in 18:42 but did not score for a 15th straight game. “It doesn’t matter how we do it. But, tonight, it feels like you let everyone down. Had the opportunities, but it’s been a tough stretch.”
The banged-up Panthers were without two of their top defensemen after Aaron Ekblad and Dmitry Kulikov were injured in the third period of a 6-3 win against the Ottawa Senators on Tuesday.
Ekblad broke a finger blocking a shot, and Kulikov broke his nose after getting struck by a deflected puck. Coach Paul Maurice said Kulikov could return this weekend; Florida plays at the Pittsburgh Penguins on Saturday and Sunday.
NOTES: Pastrnak had an assist for his 96th point of the season (29 goals, 67 assists). He is closing in on becoming the third player with four 100-point seasons for the Bruins. Phil Esposito and Bobby Orr each did it six times. … The two-time defending Cup champion Panthers avoided being eliminated from playoff contention for the second straight game. … Florida swept the three-game season series against Boston.