Production at the Rustenburg mine was disrupted for eight weeks in 2012 following illegal strike action.
The company said that attendance remains below 20%, rendering their Rustenburg operations unsafe to operate.
FORBES: Recap Of The Major Mines Impacted By The South African Mine Strikes
This could affect 14, 000 jobs, it said, 13, 000 of which would be in the Rustenburg area.
BBC: South African miner Amplats closes shafts and cuts jobs
England kick off their World Cup campaign against the United States in Rustenburg on Saturday 12 June.
The Power of Scrum (2012) by Jeff Sutherland, Rini van Solingen, and Eelco Rustenburg is such a story.
He joins captain Paul O'Connell, Ronan O'Gara and fellow Irish debutant Tommy Bowe against a Royal XV in Rustenburg.
Attendance levels of less than 20% meant four of the company's mining operations in Rustenburg could not operate properly.
The Aug. 10 strike at the Lonmin mine in Rustenburg, about 60 miles northwest of Johannesburg, turned violent quickly.
Thirteen South African mine workers have been injured during fierce clashes between two rival unions in Rustenburg, police say.
Just recently Impala Platinum came to terms with striking workers after several weeks of no output at its Rustenburg mine.
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Ferdinand will remain in South Africa to watch Saturday's match in Rustenburg before flying home for rehabilitation on his knee.
Suspended defender Jamie Carragher also trained in Rustenburg as England made their final preparations ahead of the match in Port Elizabeth.
Amplats, which is majority-owned by London-listed mining group Anglo American, plans to cease production at four loss-making mine shafts in Rustenburg.
Most of the layoffs will affect the platinum belt city of Rustenburg.
It was a similar feeling after the first tour game in Rustenburg.
The result in Rustenburg leaves all four teams in Group F on a point each after Italy's draw with Paraguay on Monday.
The proceedings are being held at the Rustenburg Civic Centre, near the scene of the shooting and 100km (60 miles) north-west of Johannesburg.
But after a tentative start in Rustenburg, they took the game to the Danes, sparking into life with two efforts in as many minutes.
Brigadier Thulani Ngubane told the BBC's Newsday programme that the death had nothing to with the police action to disperse about 200 protesters near Rustenburg.
The tragedy began unfolding a week ago when miners went on strike demanding pay hikes at the mine near Rustenburg, about two hours northwest of Johannesburg.
"Equivalent refined platinum production decreased by 29% owing to the illegal strike action at the Rustenburg, Amandelbult and Union mines, " the company said in a statement.
Teams will have their own training bases - England's is at Royal Bafokeng Sports Campus near Rustenburg - then will stay at "Venue Specific Team Hotels" before matches.
England drew their opening game with the USA 1-1 when an awful error from goalkeeper Robert Green allowed Clint Dempsey to equalise Steven Gerrard's opening goal in Rustenburg.
Fabio Capello's men will play the United States in Rustenburg on 12 June, Algeria in Cape Town on 18 June and Slovenia in Port Elizabeth on 23 June.
The company also said it plans to offset the mine-job cuts by creating the same number of jobs focused on housing and small business development in areas, including Rustenburg.
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Anglo American Platinum has said it will cease production at four mine shafts in the Rustenburg region of South Africa, which could lead to the loss of almost 14, 000 jobs.
BBC: South African miner Amplats closes shafts and cuts jobs
They may have been fighting over the occupancy of union offices at the Anglo American Platinum's Siphumelele mine shaft in Rustenburg, 100km (60 miles) north-west of Johannesburg, Mr Ngubane said.
Gatland said Wales captain Ryan Jones was one of the leading candidates to lead the Lions during their six-week trip, which starts against a Highveld XV in Rustenburg on 30 May.
It leaves Mexico level at the top of Group A with Uruguay and a draw between those two sides in their final game in Rustenburg would send France out of the tournament.
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