But two possessions later Nate Burleson coughed up the ball after an 8-yard gain and Deon Grant recovered it for the Giants. Ahmad Bradshaw ripped off a 45-yard on the next play for and Jacobs iced New York's win with his TD run with 3:24 to go.
Eli Manning tossed for 177 yards and two touchdowns and Antrel Rolle picked off Drew Staunton on the Lions' last-gasp drive.
Bradshaw ended the game with 133 yards for the Giants, who won their third straight.
Stanton replaced starter Shaun Hill in the first half for Detroit (1-5) after Hill suffered a left arm injury. He passed for 222 yards.
Jason Hanson booted a pair of 50-yard field goals in the Lions' loss.