According to the Daily Mirror newspaper, the late star, who died from a drug overdose in April 2014 aged 25, did not have a will but details of her estate have revealed she left $1,320,661 (£884,274).
But the publication claims her gross estate was reduced to $589,243 (£394,630) after debts and outstanding affairs were settled.
It is not known what the debts relate to but by law if someone without a will dies then the first $373,273 (£250,000) of their estate goes to their civil or married partner.
As a result, Peaches' musician husband Thomas Cohen will receive a quarter of a million from her estate, and the additional $215,945 (£144,630) will be split between him, and the couple's two sons, Astala, three, and two-year-old Phaedra.
This comes just days after Peaches' father Bob Geldof - who is worth a reported £35 million - revealed he had "half-expected" his daughter's death.
The 64-year-old star said: "Part of me kind of half-expected [it with] Peaches, to be honest with you - the way she was carrying on, there's nothing you can do about it."
Peaches' mother Paula Yates died from a heroin overdose aged 41 in 2000.