He told a BOA board of directors meeting today that he would leave at the end of this month to pursue other opportunities.
Mr Hunt, who helped manage Team GB as chef de mission at the London 2012 Olympics, said: “It has been an amazing four years leading the BOA as the host National Olympic Committee for the London 2012 Games.
“I will always be proud to have led Team GB at a home Games and of the fantastic performance of the team this summer and the way in which the BOA supported the athletes.
“Now that the Games are over, and the organisation’s strategy for the next four years is taking shape, the BOA’s responsibilities and the job of the CEO are different, and I feel it is the right time for me to move on to another leadership role with breadth and profile similar to the responsibilities I’ve fulfilled since 2008.”
Team GB won 65 medals, including 29 golds, at the London Games to finish third in the medal table.