The Badgers (7-3, 4-2) will now have a chance to claim their third straight Big Ten crown after clinching a spot in the league's title game.
Ball also moved past 1998 Heisman Trophy winner Ricky Williams and into second place on the FBS career list. He has 77 career TDs, trailing only Travis Prentice of Miami (Ohio) who had 78.
Indiana (4-6, 2-4) hasn't beaten the Badgers since 2002 and had its two-game winning streak end.
Ball opened the scoring with a 10-yard TD run, and White added a 69-yard TD run late in the half to make it 24-7. Ball had two more TD runs in the third quarter.