"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," his publicist said in a statement.
"The family would ask that their privacy is respected at this difficult and emotional time. There will be no further comment at this stage," the statement said.
Born Georgios Kyriacos Panayiotou, he once played music on the London underground train system before forming Wham! with Andrew Ridgeley in 1981. He died peacefully at his home in Oxfordshire, England, on Christmas Day.