The musician, who died at the age of 69 after losing his 18 month battle with cancer, had apparently told his family that he wanted to "go without any fuss" and they honoured his wish, reported the Daily Mirror quoting a source.
The singer had also kept his fight with cancer a secret from fans and had told his family to not have a funeral or public memorial.
"There is no public or private service or a public memorial. There is nothing," the source added.
However, it seems unlikely that there would be a funeral as his body was quietly cremated shortly after he died.
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The newspaper said that Bowie may have had a direct cremation' which is "the disposition of human remains by cremation without a formal viewing, visitation, or ceremony."
Bowie's producer, Tony Visconti, confirmed what many fans had speculated that "Blackstar" was Bowie goodbye to his fans.