Moses Dlamini, a spokesman for the South African Independent Police Investigative Directorate, said there was a discrepancy between the police report and the video evidence.
"When we look at what was reported, they don't report anything about this man being dragged behind by the police vehicle, and that is where the difference is. You don't see that in the police statement," he said.
"We have made recommendations that the police men be suspended, however it is a matter for the police management to then do their own investigation and make a decision whether to suspend or not."
South African President Jacob Zuma has condemned the brutal killing of Mr Mido Macia, who was reportedly killed by police in Daveyton.
South African Police have been blamed for the death of a taxi driver but this is not the first time they have faced charges of brutality.