Thames Valley Police said South Central Ambulance Service attended a property in Goring in Oxfordshire at 13:42 GMT.
Police say they were treating the death as unexplained but there were no suspicious circumstances.
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."
George Michael, 1963-2016
English singer-songwriter George Michael died December 25 at his home in Oxforshire, reports the BBC. His publicist said he died peacefully. Born Georgios Kyriacos Panayiotou, Michael rose to fame as part of the duo Wham! with Andrew Ridgeley, and sold more than 100 million records worldwide, specializing in soulful mainstream pop.