The Bulls won for the fifth time in six games, grabbing an 18-point halftime lead en route to an Eastern Conference-best 13th road win.
Jimmy Butler contributed 18 points for the Bulls while Luol Deng had 12 points, 13 rebounds and five assists.
Milwaukee had won five of its previous six, but could shoot only 41 percent and turned the ball over 18 times. Ersan Ilyasova led the Bucks with 18 points and Brandon Jennings had 15.
Dog comes home gnawing on human bone
Julius Randle breaks leg during NBA debut