Indiana turned a two-point halftime lead into a 19-point advantage heading into the fourth period and won its third straight. Milwaukee has lost five out of seven.
Hansbrough scored 22 points while Paul George contributed 20 points, eight rebounds and six assists for the Pacers. Roy Hibbert added 11 points, eight rebounds and seven blocks.
Indiana put together a 22-5 run in the third period, during which Milwaukee went 3-of-22 from the field.
The Pacers will now go on the road for five of their next six games.
Celebrity Families of 2014 [PHOTOS]