The Hurricanes led for most of the third period after Tlusty's second goal came 49 seconds in.
Jiri Tlusty had two goals and Tuomo Ruutu also scored for Carolina, which played without injured forward Alexander Semin.
Somehow they found the energy to keep the game close, and Tlusty once again worked his third period magic.
"I felt lucky to be scoring because many guys played well, " Tlusty said.
Carolina tied it 3-3 just 30 seconds into the third when Semin fed a pass to Tlusty for his first goal.
Eric Staal scored at 9:09 to make it 5-3, and Tlusty added an empty-netter with 10.3 seconds remaining to give him a four-point night.
With Carolina on the power play, Tlusty flipped a shot toward the net that bounced off Devils defenseman Bryce Salvador and over goalie Martin Brodeur at 7:25.
And then Tlusty, the Hurricanes third period specialist, took over.
Tlusty scored two goals in the third period and Cam Ward made 26 saves as the Hurricanes beat the Devils 4-2 on Tuesday night, snapping New Jersey's five-game winning streak.
With Carolina on the power play and the score tied at 2 in the third, Tlusty flipped a shot toward the net that bounced off Devils defenseman Anton Volchenkov and over goalie Martin Brodeur at 7:25.
Alexander Semin netted his 200th NHL goal, and Jiri Tlusty scored twice and had two assists in the decisive final frame for the Hurricanes, who overcame three deficits and a poor night of penalty-killing to send the Islanders to their fifth straight loss, 6-4 on Monday.
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