Striker Dolly Menga will be banned for two games after Livingston chose not to appeal against his charge for headbutting Celtic's Ryan Christie.
Menga was involved in a first-half exchange with midfielder Christie during Sunday's goalless draw.
The Angola forward was charged with violent conduct after the incident was reviewed by a judicial panel.
Menga will now miss the trip to Ibrox to face Rangers, and the visit of Motherwell.
The incident took place as Livingston were defending a corner kick and Menga was "very, very lucky to stay on the pitch", according to Celtic manager Brendan Rodgers.
"In real time, I thought he gestured with his head towards Ryan and when I saw it after the game it was actually more aggressive than I thought," he said.
Speaking about the incident on Monday, Scotland international Christie described it as "a bit of a strange one" but Livingston boss Gary Holt said he was unaware of the episode.
"No one on our staff has mentioned it," he told BBC Scotland. "It's probably nothing. These things get highlighted by the cameras playing them over and over."