The latest break-in happened last Friday at the property of Peaches near Wrotham, Kent Police said.
The thieves left empty-handed, but a lawn-mower was taken in the previous burglary in mid-April, the force said.
25-year-old Peaches, the daughter of Live Aid founder Bob Geldof, died on April 7. An inquest into her death heard heroin "was likely to have played a role".
A police spokesman said that following the latest break- in, officers arrived within five minutes.
"Police are investigating a burglary at an address in Fairseat Lane, Wrotham, on 9 May," he said.
Additionally, in mid-April a lawn mower was reported [to police] to have been taken from the grounds."
The body of Peaches was found at the home she shared with her husband Tom Cohen, and two sons.
Her inquest earlier this month was told Cohen discovered her slumped dead on a bed after she had recently taken heroin.
Peaches embarked on a media career at the age of 15, when she began writing a column for Elle magazine.
She left home at 16 and contributed to the Telegraph and the Guardian, as well as TV shows including ITV2's OMG! with Peaches Geldof. She also worked as a model.
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