Shots were fired at the East Rand H&M store after a group of EFF protesters dressed in their red regalia forced their way into Sandton, Menlyn Park and East Rand H&M retailer stores.
According to South Africa's daily news24, police engaged the protesters, who did not want to be caught on camera.
The Menlyn store was shut after it was completely trashed by the angry protesters.
The company later on Saturday temporarily closed all of its stores in South Africa.
Other nationwide demonstrations also took place in Mall of the South, Mall of Africa, Clearwater and East Rand Mall.