Melbourne-born Granger passed away on Christmas day, his family confirmed in a statement posted on Instagram early Wednesday morning.
Granger, "a dedicated husband and father", leaves behind his wife Natalie Elliott and three daughters, Edie, Inès and Bunny. All were at his bedside.
View this post on Instagram A post shared by Bill Granger (@bill.granger)
"He will be deeply missed by all, with his loss most profoundly felt by his adored family, who are grateful for all the love and support that has been given," his family said.
Tributes are flowing from the international food world, including chefs Jamie Oliver and Nigella Lawson.
"He was such a wonderful man, warm, charming, and had an extraordinary ease and style in cooking that could only come from Australia," Oliver posted on Instagram.
"I'm heartbroken to hear this. So cruel," Lawson said.
Granger was a self-taught cook who became a celebrated global restaurateur and food writer over a three-decade career.
He was handed a Medal of the Order of Australia in January.
Granger and his wife built a successful business that has grown to 19 restaurants globally, including Sydney, London, Tokyo and Seoul.
He wrote 14 cookbooks and created five television series.