The Wolverines (9-7, 3-2 Big Ten) needed the victory after blowing a 17-point lead in their previous game against Northwestern and before hosting No. 15 Connecticut on Sunday.
Christian Watford scored 16 for the Hoosiers (7-9, 1-3) but didn't get much help. No other Indiana player scored more than seven points.
Indiana's young team was competitive for most of the game and was within 48-43 with 5:54 remaining before Michigan finished the game on a 21-2 run.
Harris had 17 of the Wolverines' 23 points during one dominant stretch in the second half.
Duke and Cincinnati, 2016 NCAA Tournament teams, highlight the eight-team field for the Naismith Memorial Basketball Hall of Fame Tip-Off Tournament.
NCAA champion Villanova will play Notre Dame and Pittsburgh will play Penn State in the inaugural Never Forget Tribute Classic at Prudential Center on Dec. 10.
Florida guard Brandone Francis-Ramirez has decided to leave the team after two seasons.