The Pacers recovered from the loss of a 16-point lead after three quarters to end Chicago's eight-game winning streak.
Indiana's Darren Collision fouled Derrick Rose as he was attempting a 3-point shot with 2 seconds remaining in the fourth period and Rose made all three free throws to force overtime. The Pacers then dominated the early portion of the extra period, with Hansbrough starting the scoring and Danny Granger adding a key 3-point shot.
Hansbrough scored 29 points and had 12 rebounds. Granger added 19 points in helping Indiana win for the third time in four games.
Rose equaled a career high with 42 points. He made just 11-of-27 shots from the field, but was 18-of-21 from the foul line.
Luol Deng contributed 21 points for the Bulls, who began the night with a half game lead over Boston for the best record in the Eastern Conference.