The Bucks shot only 31 percent from the field and missed their last 11 attempts after trailing by only one. Milwaukee did not score over the final 5:13.
Chicago won its fourth in a row and have captured five out of six. The Bulls have won in each of their last eight trips to Milwaukee.
Milwaukee led by seven after one period, but Boozer and Mike Dunleavy keyed a Chicago comeback. Boozer added 13 rebounds while Dunleavy scored 18 points. Taj Gibson had 12 points and six rebounds off the bench.
The Bucks, who have a league-low seven wins this year, lost their fourth straight. O.J. Mayo had 16 points for Milwaukee.