The husband of Peaches Geldof "is not in any way under suspicion of any involvement" in her death, police said tonight.
Kent Police said musician Thomas Cohen 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.
Mr Cohen discovered Ms Geldof, 25, dead in a spare bedroom at the family home in Wrotham, Kent, on April 7.
At the opening of her inquest yesterday, Mr Fotheringham revealed that recent heroin use by Ms Geldof "was likely to have played a role" in her death.
More top news
President Xi Jinping hailed the start of a "new era" as he set out his vision for China to become a "great modern socialist country".
Douglas Ross has been accused of a "perverse sense of priorities" after it was confirmed he will be at the Nou Camp not the Commons.
Following criticism from MPs and campaigners, the work and pensions secretary said the helpline would be free by the end of the year.