Peaches Geldof died earlier this year at the age of 25.
A message has been published under her name which appears to promote “fat-burning” methods and contains a link to Tumblr.
The account is currently set to private but users who already followed her were able to see the message.
“It’s obviously been hacked and is pretty crude,” a family spokeswoman said.
Peaches Geldof died in April. Initially the cause was unknown, but it was later linked to heroin use.
Her body was found by her husband Tom Cohen at their home in Wrotham, Kent.
Peaches Geldof had two sons, Astala, 2, and Phaedra, 1.
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