The Bulls ended the Magic's four-game winning streak and took some of the luster off Orlando's comeback home win over Miami 24 hours earlier.
Chicago closed the first half on a 22-8 run that gave the Bulls a 39-35 advantage at the break. Orlando cut its deficit to eight entering the fourth period, but could not make a charge over the final 12 minutes.
Rose scored 24 points and Luol Deng had 16. Reserve center Omer Asik grabbed five offensive rebounds and 13 overall.
Dwight Howard scored 20 points and had 10 rebounds for Orlando but he missed 8-of-12 attempts from the foul line and was called for his 16th technical foul of the season.