Police in the UK have confirmed that drugs paraphernalia was seized from Peaches Geldof's home on the day her body was discovered.
A criminal inquiry is under way into her death after it emerged that heroin was likely to have played a part in it.
Police said there was an "ongoing investigation into the supply of drugs" in connection with the 25-year-old's death.
She was found by her husband Thomas Cohen in a spare bedroom of their home in Wrotham, Kent, on 7 April.
Kent police said Mr Cohen "is not in any way under suspicion of any involvement" in her death.
They said the musician has not been arrested or interviewed under caution and "there is no plan to do so".
Detective Chief Inspector Paul Fotheringham said he was making the position clear following recent speculation in the media.
He said: "Inaccurate reports have also been made suggesting that no drugs paraphernalia was found at the address, with suggestions that the scene had been 'tampered' with prior to police arrival.
"While no detail will be provided around specific items, to prevent further speculation I will confirm that contrary to rumour in the media my officers did seize drugs paraphernalia from the address on 7 April.
"The coroner has authorised the disclosure of this information.
"Our investigation on behalf of the coroner continues and there will be no further information released at this time."
He also said the police were in regular contact with both sides of the family to keep them apprised of progress.
At the opening of Ms Geldof's inquest in Gravesend yesterday, DCI Fotheringham, said recent heroin use "was likely to have played a role" in her death.
Ms Geldof's death marks a parallel to the death of her mother, TV presenter and writer Paula Yates, who died from an accidental heroin overdose at her London home aged 41 in 2000.