Heat's winning streak is the second-best record in the major leagues going professional sports the United States, trailing only team winning 33 consecutive wins in the 1971-72 Los Angeles Lakers. Heat have not lost since Feb. 1 at Indiana.
Luol Deng of the Chicago scored 28 points and Carlos Boozer added 21 points and 17 rebounds for the Bulls team, which played without All-Star center Joakim Noah of France who suffered injuries.
Jimmy Butler added 17 points for the Bulls, Heat limiting fierce attack to 44.4 percent shooting in the arena game midway through the second.
Flagship Stars Heat, LeBron James, scored 32 points on 11 of 17 shooting with seven rebounds.
Dwyane Wade returned after missing the past two games to score 18 points and grabbed seven rebounds, while Chris Bosch scored 21 points