Peaches Geldof has been found dead by ambulance officers at an address near Wrotham, Kent, south-east of London.
The Sydney Morning Herald has reported a statement from Kent Police as saying "At this stage, the death is being treated as unexplained and sudden". The tragedy has happened just one day after the celebrity posted a picture of her mother and herself when she was a small child on Twitter.
"I remember the day my mother died, and it's still hard to talk about it. I just blocked it out. I went to school the next day because my father's mentality was to keep calm and carry on," she told Elle magazine in 2012.
"I didn't grieve. I didn't cry at her funeral. I couldn't express anything because I was just numb to it all. I didn't start grieving for my mother properly until I was maybe 16."
Geldof was the second daughter of musician Bob Geldof and Paula Yates. Paula Yates died of a drug overdose in 2000, when Geldof was just 11 years old. Their half-sister Tiger Lily lived with them after the death of both her father, INXS frontman Michael Hutchence, who died in 1997.
Geldof was twice married, first to American musician Max Drummey,and then to British musician Thomas Cohen, with whom she had two children, sons Astala Dylan Willow, born in 2012, and Phaedra Bloom Forever, born in 2013.