He was best known as the former host of BBC sports and current affairs shows including Grandstand, Nationwide and Breakfast Time, which he launched alongside Selina Scott and Nick Ross.
Over a long broadcasting career, Bough became renowned for his smooth, relaxed and professional approach to live broadcasts, once being described as “the most unassailable performer on British television”.
In 1988, Bough was sacked by the BBC, following revelations that he had taken cocaine and visited brothels.
He later presented programmes on London Weekend Television, ITV, Sky TV and on London’s LBC radio before his retirement in 1998.
Frank died last Wednesday in a care home, a family friend told the BBC.