"The planning permission enables us to move towards crystallising the tendering and funding arrangements for this enormously important education hub for football," said David Sheepshanks, joint acting chairman of the FA.
The approval comes as much-needed good news for the FA after the resignation of chairman Lord Triesman on Sunday.
Triesman, who was also head of England's 2018 World Cup bid, is alleged to have suggested Spain could drop its attempt to win the right to host the tournament if rival bidder Russia helped bribe referees at this summer's World Cup.
Plans for the Burton centre were first unveiled in 2001
England manager Fabio Capello, who saw a similar set-up in his native Italy, has given it his backing.
"The venue will be an inspirational site, a place for coaches and players to work, learn and develop," Capello commented.
"This is a much needed facility and through my own experiences at Coverciano in Italy I understand the importance of the centre for England."
Since its inception, the centre has been undermined by funding doubts as the cost of the new Wembley Stadium spiralled.
A network of regional academies was raised as a possible alternative, along with scrapping the concept altogether, before it was finally approved by the FA in December 2007.
It was only in June 2008 that the FA confirmed it would definitely locate the centre in Burton.
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