It comes a day after a post-mortem into the 25-year-old's death proved inconclusive, reported BBC online.
That prompted further toxicology tests, the results of which are due in two to three weeks.
Peaches, the daughter of singer Bob Geldof and TV presenter Paula Yates died on Monday. Police are treating the death as "non-suspicious" and "sudden".
A spokesman for North West Kent coroner Roger Hatch said, "We can confirm that the body has been released to the family for funeral arrangements to be made."
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Peaches' body was found after officers were called to the home she shared with her husband and two young sons "following a report of concern for the welfare of a woman".
Peaches, a TV presenter and magazine columnist, lost her own mother to a heroin overdose at the age of 11.
She married US musician Max Drummey in Las Vegas in 2008, but the couple split amicably a year later before divorcing in 2011.
She married Thomas Cohen, lead singer of London band Scum, in September 2012 at the church in Davington, Kent, where her parents married 26 years earlier.