Players came together following an Ohio State kickoff return from Dontre Wilson. Referees ejected Wilson as well as Ohio State starting right guard Marcus Hall and Michigan linebacker Royce Jenkins-Stone.
After the tackle on the return, several Michigan players crowded around Wilson. Jenkins-Stone ripped off Wilson's helmet and Wilson threw a punch.
"It was unacceptable," Meyer said after Ohio State's 42-41 win.
After being ejected, Hall used both hands to aim obscene gestures at the Michigan fans as he exited the field.
The ejections happened in the first minute of the second quarter of the rivalry matchup, following a 78-yard scoring drive that gave the Wolverines a 21-14 lead.
Punishment could potentially linger for Ohio State if both players are suspended for next week's Big Ten championship game.
"The conference office will wait until after the game for the officials' written report, review the video and then take further action if needed," Big Ten spokesman Scott Chipman wrote in an email to The Associated Press.
Information from The Associated Press was used in this report.