Chairman designate JohnMcFarlane will replace Mr Moss on an interim basis while the board looks for a permanent replacement among internal and external candidates.
The Arizona senator, who often mentions his time as a prisoner of war during the Vietnam era, graduated from the Academy in 1958 along with John Poindexter and Robert "Bud" McFarlane, two consecutive national security advisers under President Reagan who played a role in the Iran-Contra affair.