Here are the latest updates as friends and colleagues pay tribute:
The news was announced in an on-air statement by Bob Shennan, the controller of BBC Radio 2 where Mr Wogan has worked since 1972.
His family confirmed he had died on Sunday "after a short but brave battle with cancer".
In a statement, they said: "He passed away surrounded by his family.
"While we understand he will be missed by many, the family ask that their privacy is respected at this time."
Sir Terry was most famous for presenting Eurovision and his breakfast radio show, Wake Up Wogan on Radio 2. He also presented his own chatshow - Wogan - for many years and attracted a new generation of fans for his sarcastic coverage of the Eurovision song contest from 1971 to 2008.
He was also the face of the BBC's annual Children in Need from its inception in 1980 until last year.
He was awarded a knighthood in the Queen's Birthday Honours in 2005 for services to broadcasting.
