Roy Aubrey Grantham CBE (12 December 1926 – 25 October 2013) was a United Kingdom trade union leader who was the last general secretary of the Association of Professional, Executive, Clerical and Computer Staff (APEX) which was involved in the Grunwick dispute in the 1970s.
He was born in Birmingham and attended King Edward VI Grammar School, Aston before being conscripted to work in a coal mine as a Bevin Boy.
Grantham was considered a moderate leader and during a bitter dispute at the Grunwick film processing plant he faced criticism from other trade unionists for not asking other unions to cut off power and supplies, but he explained that it would be illegal to do so.
He also expressed concern that picketing by other unions such at the Yorkshire miners led by Arthur Scargill would not help.
Grantham then became the president of the Confederation of Shipbuilding and Engineering Unions and the Labour government appointed him a director of Chrysler UK, but he resigned in 1981 when the company closed its Linwood plant in Scotland.