It will examine if dementia is more prevalent in former footballers than the rest of the population.
Three members of England’s 1966 World Cup-winning squad Martin Peters, Nobby Stiles and Ray Wilson have Alzheimer’s.
“We are taking it seriously,” said FA chief executive Martin Glenn at the annual meeting of the International Football Association Board.
UEFA, European football’s governing body, has already commissioned a research project, which is being supported by the FA.
Former England captain Alan Shearer will present a BBC 1 documentary this summer on the issue.