Udonis Haslem added 19 points and Mario Chambers scored 11 for the Heat. Wade sank 8-of-10 free throws.
Miami put on a winning rally in the closing minutes, with Wade and Haslem hitting baskets and Quentin Richardson adding a 3-pointer.
Luol Deng topped the Bulls' scorers with 26 points. John Salmons had 17.
Swim Week Miami Beach 2014 [PHOTOS]