"A person was killed by a buffalo just north of Punda Maria last night. Apparently there were three men and two of them ran away," spokesperson William Mabasa said.
Reports on Wednesday said the men were poachers, but Mabasa could not confirm this.
"But you could ask yourself, what would you want in the park at night without coming through the gate?"
Lieutant Colonel Mohale Ramatseba said the 35-year-old man was trampled and died at the scene.
Police have opened an inquest docket and would further investigate the case.