The investigation is now closed with no need for an inquest, AFP quoted the coroner as saying. An initial post-mortem examination Mr Michael, who enjoyed a 35-year career punctuated by years of drug-taking, proved "inconclusive" pending further tests.
Mr Michael's partner Fadi Fawaz had earlier said he had found the star "lying peacefully" in bed at his home in the village of Goring on the River Thames west of London. Michael's publicist had been keen to quell reports of foul play, saying "there were no suspicious circumstances".
The singer's funeral can now take place after three months of tests. Born Georgios Kyriacos Panayiotou to a Greek Cypriot father and English mother in north London in 1963, Michael shot to fame with the band Wham!, with his high school friend Andrew Ridgeley in 1981.
George Michael was best known for his 1980s hits Last Christmas, Freedom, Careless Whisper and Wake Me Up Before You Go Go. He's won various awards over a career spanning three decades. His last album Symphonica topped the charts in 2014.
At the Grammys this year, singer Adele paid tribute to the late music legend George Michael.
(With AFP inputs)