Crosby connected on kicks of 41 and 40 yards in the fourth quarter, adding to his 20-yard first-quarter boot, and the Packers (5-3) won their second straight game.
The Jets (5-2) outgained Green Bay in total offensive yards, 360-237, but Mark Sanchez was picked off twice and New York fumbled three times, one of which was lost by Brad Smith.
Sanchez threw for 256 yards on 16-of-38 efficiency for New York, who saw its five-game winning streak snapped.
LaDainian Tomlinson was held to 54 yards rushing on 16 carries and Jerricho Cotchery managed four catches for 89 yards.
Celebrity Families of 2014 [PHOTOS]