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
The singer best known as Johnny Rotten offered advice for Britain's Brexit negotiators as he told ITV News his biggest hit is misunderstood.
The Atlantic regains control of our weather
Bosnian Kerim Ahmetspahic smashed the concrete blocks in just 35 seconds, achieving a Guinness World Record in the process.