26-year-old Francois Lottering was cleaning the yard when a police vehicle chased him quickly in Mfuleni, Extension 4 earlier this month.
Five officers were injured.
Lottering was declared dead on the spot, and police, an independent police investigation directorate (Ipid), initiated an investigation into his death.
A spokeswoman for Sontag Siesa said: "We are investigating the death of a deceased person who was allegedly killed by a police vehicle. Nobody was arrested during our investigation. "