Forte's 3-yard run put New York ahead 27-24 with 2:12 left in the third quarter. He sealed the win by patiently waiting for a seam to open before scampering into the end zone from 12 yards to put New York up 37-24 with 4:02 left in the fourth quarter.
Forte finished with 100 yards rushing, and the offseason free-agent addition became the 13th New York player to score three rushing touchdowns in a game.
The Jets (1-1) bounced back from a season-opening loss to Cincinnati and snapped a five-game skid against their AFC East rivals.
Their offense sputtered in a 13-7 loss at Baltimore on Sunday, and now it was their defense that showed cracks against the Jets.
New York finished with 493 yards offense, 28 first downs and had seven drives cross midfield.
Dan Carpenter began the run by hitting a 39-yard field goal with 10 seconds left in the second quarter.
Copyright 2016 by The Associated Press