Sam Reinhart and Jesper Boqvist scored for the Panthers (11-5-1), who had won seven in a row prior to their two losses to the Devils. Sergei Bobrovsky made 23 saves.
“They were better than we were," Florida coach Paul Maurice said. “They were quicker, faster, a little sharper in their execution.
“We haven’t loved our last two. You are not going to love them all.”
Noesen gave New Jersey a 1-0 lead at 10:01 of the first period. He won a battle with Dmitry Kulikov in front and knocked in the rebound of Luke Hughes' slap shot with his backhand.
Boqvist tied it 1-1 at 12:13. He took a pass from Matthew Tkachuk in the left circle, put the puck between the legs of Dougie Hamilton as he cut to the slot, and made a move back to his forehand at the top of the crease before sliding the puck past Allen's right pad.
Bratt gave the Devils a 2-1 lead with two seconds remaining in the period, scoring a power-play goal through a screen from the top of the right circle.
Reinhart tied it 2-2 at 4:45 of the second period. He skated into a face-off win by Aleksander Barkov before beating Allen glove side from the left circle.
“In both games they played really good offensively and we couldn’t get our offense going at all,” Barkov said. “We’re not happy at all with the past two games, especially this one. We just have to learn from it and move on.”
Dawson Mercer put the Devils back in front 3-2 at 5:56 when Jack Hughes’ backdoor pass deflected in off him and the skate of Kulikov for a power-play goal.
Noesen made it 4-2 with 11 seconds remaining in the period, burying a one-timer off a pass from Hischier for another power-play goal.