The Cavaliers have lost six in a row and have dropped all eight meetings with Central Division opponents this season. Indiana won for the fifth time in six games.
Hibbert scored 18 points while hitting 8-of-12 shots from the field. Lance Stephenson tacked on 16 points and seven assists while George Hill had 13 points and eight rebounds.
The game was deadlocked 2 minutes deep in the second half, but Indiana eased to a 10-point lead heading into the fourth quarter and boosted it to 18 with 2 minutes to play.
Kyrie Irving scored 17 points for Cleveland.
Jessica Simpson shares three-way kiss with friends in photo
Scarlett Johansson steps out with fiance after pregnancy reveal