According to BBC, The star, who launched his career with Wham in the 1980s and later continued his success as a solo performer, is said to have “passed away peacefully at home”.
Thames Valley Police said South Central Ambulance Service attended a property in Goring in Oxfordshire at 13:42 GMT.
Police say there were no suspicious circumstances.
Michael, who was born Georgios Kyriacos Panayiotou in north London, sold more than 100m albums throughout a career spanning almost four decades.
In a statement, the star’s publicist said: “It is with great sadness that we can confirm our beloved son, brother and friend George passed away peacefully at home over the Christmas period.
“The family would ask that their privacy be respected at this difficult and emotional time. There will be no further comment at this stage.”