Burton was involved in a locker room altercation with a teammate following the Thunder's loss to the Indiana Pacers on Wednesday, league sources told ESPN.
Thunder coach Billy Donovan did not want to elaborate on the situation surrounding Burton's suspension.
"I think it's pretty clear, one-game suspension and we'll all move on," Donovan said. "He'll serve that, and we'll move on from there."
Burton will serve his suspension Friday against the Minnesota Timberwolves.
Donovan did acknowledge there is some frustration for players because of the Thunder's 8-12 record, but he called it a healthy frustration that shows that they care.
Burton, 25, is averaging 2.8 points and 1.8 in 12 games this season.