Minnesota is a kind of big place.
Assuming that Minneapolis (southern part of the state, at least) is the destination:
Route map and directions.
Expect 380 miles / 611 km / 6 hours in the car. Shave nearly 2 hours off that if you want to just get to the Minnesota border, and add more like 6-10 hours / 350-600 miles on if you need to go somewhere near the Canadian border.
Assuming that Minneapolis (southern part of the state, at least) is the destination:
Route map and directions.
Expect 380 miles / 611 km / 6 hours in the car. Shave nearly 2 hours off that if you want to just get to the Minnesota border, and add more like 6-10 hours / 350-600 miles on if you need to go somewhere near the Canadian border.