The team announced Tuesday that Ishmael Zamora will be suspended for the first three games of the football season and must perform 40 community service hours.
"Our football program does not condone this behavior by anyone. We are deeply saddened by it and have worked together with the University to hold Ishmael accountable for his actions," said Baylor Acting Head Football Coach Jim Grobe in a statement.
VIDEO: Baylor football player kicks and beats dog with belt
Baylor says he will be able to practice with the team if he meets other provisions of his sanctions.
In the statement released by the university, Zamora apologized for the incident.
"I am sorry that I took out my frustration on my dog and accept the punishment that comes with it. This incident will never, ever, happen again," Zamora said. "I truly love my dog, however, I know that my actions showed differently and I know that I made a big mistake.
He has been charged with a Class "C" misdemeanor and citation.