Paul George scored 20 points and Darren Collison had 18 points and eight rebounds for the Pacers, winners of three straight.
Trevor Ariza scored 21 points to lead the Hornets, who have lost 10 of their last 13. New Orleans, which snapped a three-game winning streak Monday at Oklahoma City, concludes a stretch of three games in three days — all on the road — Wednesday at Cleveland.
The Pacers went on a 10-0 run in overtime. Hibbert and Collison combined for eight points and West scored to take a 113-102 lead.
The Hornets scored back-to-back baskets and only scored once more.
George's finger roll layup tied the score at 91 with 3:09 to go in regulation and started an 8-1 run for the Pacers. Hibbert's jumper 37 seconds later put them ahead and Danny Granger's layup extended the lead to four with 1:50 remaining.
Jarrett Jack made a free throw for the Hornets before Hibbert's putback extended the advantage to 97-92 with about 1 1/2 minutes remaining.
Gustavo Ayon had three baskets in New Orleans' 6-2 run, cutting the deficit to 99-98 with 16.5 seconds left.
Collison was fouled and went to the line. He hit 1 of 2 free throws to make it 100-98 before Ariza tied score with a jumper with 5.4 seconds left.
George missed a jumper at the buzzer.
New Orleans took the lead right away in the first quarter and didn't give it up until the third.
The Pacers tied the score at 56 at the start of the second half when Granger hit a 3-pointer. However, the Hornets answered like they did all night, this time with a 3 by Greivis Vasquez to tie the score again.
The Pacers started to pull away after the score was tied at 74. Price was fouled and went to the line to give the Pacers a two-point lead. Then the Hornets bench was called for a technical and Price returned to the line to extend the lead to three.
A.J. Price hit a 3-pointer to increase the advantage to 80-74.
Solomon Jones made a field goal and later scored a free throw to pull the Hornets back within three, and Jack hit a 3 to tie the score.
The Pacers got within a point twice in the second quarter, but never took a lead. Each time the Pacers had a chance to tie it at the free throw line.
Hibbert scored two free throws and a hook shot midway through the quarter to make it 46-45.
Jack turned the ball over on the Hornets' next trip down the floor and West missed a short jumper. Then Jack was called for a technical and Granger missed the free throw.
Then Belinelli hit a 3-pointer and the Hornets had a four-point lead again, and took a 56-53 advantage at halftime.