BBC Trust chairman Lord Patten said: "William Rees-Mogg was a great journalist and editor, and a distinguished public servant, for example at the Arts Council and BBC.
"My family knew him as a kind and good man, generous, spirited, warm, witty, and the much-loved father of a close and talented family.
"Everyone who knew him will miss him deeply."
More top news
George Osborne has recruited former Labour minister Lord Adonis to spearhead efforts to get Britain building again.
More than 20 people are feared injured after a British millionaire crashed his supercar into a crowd at a motor show in Malta.
Police snipers have been seen on Manchester rooftops during the Conservative Party conference.