The Golden Gophers (3-1, 1-0 Big Ten) finally held on against Northwestern (2-2, 0-1) after losing to the Wildcats in the final seconds the two previous years.
Minnesota started the fourth with an 83-yard scoring drive, getting a 10-yard pass from Weber to Brandon Green on third down at the Northwestern 23 before Bennett ran it in from the 4. That made it 28-24 and Minnesota hung on from there.
Any chance Northwestern had at a comeback ended when Cedric McKinley stripped Mike Kafka as he dropped back to pass with the ball on the Wildcats 17 and recovered the fumble. That led to a 1-yard TD from Weber to Eric Decker, making it an 11-point game with 1:43 left.
The Gophers' D.L. Wilhite then stripped Kafka again as he dropped back and recovered the fumble with 1:26 to play, and this time, Minnesota escaped with a tense win.
Bennett ran for 89 yards and Weber threw for 186. He was intercepted once and threw both touchdowns to Eric Decker, who caught eight passes for 84 yards.
Kafka, who set a Big Ten record for a quarterback by rushing for 217 yards against Minnesota last year, had his moments for Northwestern. He was 32 of 47 with 309 yards after setting school marks by completing his first 16 passes and 83.3 percent in all in a 37-34 loss at Syracuse last week.
Minnesota picked itself up after falling 35-21 to California in a game that was tied in the fourth quarter, regrouping against a team that had caused it plenty of misery.
Northwestern rallied from 21 down to a 49-48 double overtime win in Evanston in 2007, and last year sent Minnesota into a season-ending tailspin with a 24-17 last-second victory.
Nike Men's Minnesota Golden Gophers Maroon Football Icon Legend T-ShirtShop
Spurs legend David Robinson joins Mike and Mike to discuss his son Corey, a wide receiver for Notre Dame, who just got elected the student-body president for the university.
The Rebels beefed up their offensive line on signing day, landing the nation's No. 1 tackle in Gregory Little.
More Big Ten recruits came from Ohio and Florida than any other state in 2016, and a large majority came from the eastern schools' areas.
A peak at how Washington State coach Mike Leach keeps his players out of trouble at night.
Corey Robinson, who has caught 65 passes for 896 yards and seven TDs during his Notre Dame career, was elected as the student body president.
Will Jim Harbaugh roll Toomer's Corner when he brings Michigan down South for spring break? And might Bret Bielema go WWE with the SEC response?