The Global Citizen Festival has raised billions of Rands in funds aimed to alleviate poverty.
After the concert, in which 58 heads of state and worldwide stars pledge to do their bit to end global poverty, concert-goers were mugged outside the stadium at a nearby Sasol garage.
Those caught up in the chaos claim there wasn't a police officer in sight. The injuries included stab wounds and a broken nose.
But Big Concerts' Justin Van Wyk says that by law, the police is responsible for providing safety.More news: Manchester City learn FA Cup opponents
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"The criminals were basically having a field day", said Zikhona Tshona, a reporter for the South African news organization eNCA.
South African media say a concert worker died in a stadium fall Saturday.
South African witnesses described thieves brazenly mugging those leaving Johannesburg's FNB Stadium Sunday night after attending the Global Citizen Festival: Mandela 100.
Naidoo said police would not admit to the alleged lack of policing as the service was known for delivering safety and security at major events successfully as it had done at the 2010 FIFA World Cup and post the major tournament. We do not have a report of any other cases.
"There was one robbery that took place at Sasol garage which was reported to us and we arrested the suspect with regards to that. We as stadium management were not involved in the safety and security of the event as we would normally have been as we did with the Guns N' Roses concert last week Thursday", Grobbelaar said.