The trouble broke out Tuesday in the fourth quarter of the Pacers' 108-97 victory over the Warriors in Indianapolis.
The pair engaged in a shoving match underneath the basket, followed by altercations between several other players that threatened to spread into the stands.
Hibbert threw Warriors guard Stephen Curry to the floor in the fracas.
NBA Executive Vice President Stu Jackson said Curry, Golden State teammate Klay Thompson and Pacers guard Lance Stephenson were each fined $35,000 for their roles in the fight.
Celebrity Couples of 2014 [PHOTOS]