Kent Police have confirmed that the late star's property in Wrotham, Kent has been raided twice, most recently on Friday, 9 May, although on that occasion the thieves left empty-handed.
Police have said that they are investigating the 9 May break-in, adding "no personal items are believed to have been stolen."
According to The Sun, thieves deliberately damaged CCTV cameras before attempting to break-in. Alarms alerted the police who arrived on the scene within five minutes but the thieves had already left empty-handed.
A source said: "The house has been empty ever since Peaches died. The vultures who broke in clearly knew that and are preying on the bereaved and her family."
Previously, thieves managed to steal a ride-on lawnmower from the grounds of the estate in mid-April. It's believed to be the same lawnmower pictured in one of the last images of Peaches with her children.
Mother-of-two Peaches was found dead at the Wrotham home on 7 April. An inquest into her death has declared that heroin was "likely to have played a role" in her passing.
She was discovered by her musician husband Tom Cohen, who arrived at the property with his mother to find her slumped on a bed in the guest room.
Peaches was home alone with their 11-month-old son Phaedra at the time. Their 23-month-old son Astala had been with his father.
A full inquest will take place on 23 July.
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Peaches' life in pictures:
Copyright: Rex Features Dennis Stone