ICC chief executive David Richardson has expressed his sadness on hearing the news of Greig's passing.
In an ICC statement, Richardson said: "This is extremely sad news for cricket and the ICC send their condolences to Tony's family and in particular his wife Vivian.
"Tony played a significant part in shaping modern cricket as a player in the 1970s and then provided millions of cricket lovers with a unique insight as a thoughtful and knowledgeable commentator - primarily for the Nine Network in Australia.
"I met with him on several occasions during the recent ICC World Twenty20 in Sri Lanka where he was a senior commentator for our broadcast partner ESS.
"He was also a regular visitor to the ICC offices in Dubai when commentating for Ten Sports.
"I am sure that I will not be alone in saying that he and his wise words will be missed by cricketers, administrators and spectators around the world.
"His figures in Test matches show that he was one of the leading all-rounders of his generation with a batting average of above 40 and a bowling average around 32."
