Danny Jordaan, chief executive of the local organising committee, also said FIFA would introduce special charter flights and direct ticket sales in response to African anger at the difficulty of attending the continent's first football World Cup.
"It is always important to further strengthen social cohesion in our country, to strengthen nation building, and I think that in this regard the impact is going to be massive, much more than the 1995 (rugby) World Cup," he said.
The story of how South Africa's victory in that tournament calmed white fears, averting possible civil war a year after the end of apartheid, is shown in Clint Eastwood's film "Invictus."
Jordaan said FIFA, football's world governing body, would respond to this by organising over-the-counter direct ticket sales and charter flights in the five other African countries that have qualified for the finals.
Asked if FIFA's reaction was too late and mistakes had been made, Jordaan said: "It is something that certainly must be taken on board for Brazil". Brazil will host the 2014 World Cup.
In a news conference at Wembley stadium on Thursday, President Jacob Zuma said foreign visitors should not be deterred by fears about security in South Africa which has one of the world's highest rates of violent crime.
"We're ready to protect those who come. If there are people who are sceptical or feeling concerned, they must know they can come to South Africa safely," he said.
"We want to see fans coming back and increasing tourism into South Africa...this is a huge oppo
