Trailing 2-1 late in regulation, the Panthers tied it up with 27 seconds remaining when Shawn Matthias recorded his second goal of the game.
Jacob Markstrom compiled 24 saves as Florida won a second consecutive home game.
The Devils, who hold the seventh playoff seed in the Eastern Conference, dropped a third straight as Brodeur finished with 27 saves.
Steve Bernier scored both New Jersey goals.
Kate Middleton recycles dress at movie premiere
Beyonce flaunts bikini body, Blue Ivy in vacation pics