The match was stopped for around five minutes early in the second half because of the injuries and safety of the fans in the overcrowded main stand where the fencing had been removed.
"There are 14 people slightly injured and one policeman seriously injured," South African police official Eugene Opperran said.
"He was crushed by the gates as people stormed them, trying to get in," another police official at the scene told Reuters.
The sport's governing body FIFA said in a statement that they did not have any concerns about a repeat incident occurring during the World Cup, which starts on Friday.
"FIFA would like to reiterate that this friendly match has no relation whatsoever with the operational organisation of the 2010 World Cup, for which we remain fully confident," the statement read.
"FIFA had nothing to do with the ticketing of this game."
"Nobody can be blamed for this. We did not have any choice of an alternate bigger venue," Nigerian Football Federation board member Taiwo Ogunjobi said.
"We are just thankful nobody died. The tickets were free and too many people wanted to get in." The stadium in the Johannesburg suburb will not host any World Cup matches.
There was no immediate word on the policeman's condition.
Elderson Echiejile's errant back pass was intercepted by Jong Tae-se, who scored from close range.
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