Peaches Geldof owed around £450,000 at the time of her death.
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 £884,274.
But the publication claims her gross estate was reduced to £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 £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 £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.