The South Africa-born 66-year-old was diagnosed with lung cancer two months ago.
The all-rounder played 58 Tests for England from 1972-77, including 14 as skipper, before giving up the captaincy to join Australian media magnate Kerry Packer’s breakaway World Series.
He later became a popular television commentator in Australia.
“He was a massive character,” said BBC cricket correspondent Jonathan Agnew. “Whatever he did, Tony was huge – as a character, as a man, as a cricketer.”
Former England captain Sir Ian Botham described Greig as “an amazing guy, just full of energy”.
“He revolutionised the game and it had to be done,” he added.
Read more: http://www.bbc.co.uk/sport/0/cricket/20863828
Source: BBC