He breathed his last at a hospital after being brought in a "critical condition". He was diagnosed with lung cancer in October this year after undergoing treatment for what was initially thought to be bronchitis in May.
"On his return to Australia [ Images ] he had fluid removed from the right lung and testing revealed he had lung cancer," the Sydney Morning Herald reported.
Greig's son Mark told a newspaper that his father's cancer had progressed to "stage four". While commentating during the coverage of the first Australia-South Africa in November, Greig spoke about the disease.
"It's not good. The truth is I've got lung cancer. Now it's a case of what they can do," Greig had said.
Born in Queenstown, South Africa [ Images ], Greig qualified to play for England due to his Scottish parentage. His father was a Scot.
In his 58-match Test career, Greig scored 3,599 runs and picked up 141 wickets. In 22 ODIs that he played, Greig scored 269 runs and managed 19 wickets.
Greig was a leading international all-rounder for England. Considered a controversial figure, he helped Kerry Packer start the World Series Cricket by signing up many English as well as some West Indian and Pakistani cricketers.
The move ended up costing him England's captaincy.
The best performance of Greig's captaincy career came in 1976-77, when England toured India [ Images ] for a five-Test series.
The team had not won there for 15 years but went on to score one of their most convincing triumphs when they clinched the first three Tests by huge margins.
Greig turned into a successful commentator following the end of his playing career in 1977 and was forthright with his views. He was one of the most bitter critics of BCCI's opposition to the Decision Review System.
Photograph: Paul McConnell/Getty Images