The musician reportedly told the hearing at North Kent Coroner’s office that the 25-year-old television presenter and daughter of Bob Geldof began using heroin again in February this year following the use of the substitute drug methadone.
He said he had previously witnessed his wife flushing drugs she had hidden in their home down the toilet.
Peaches was found dead on the bed in a spare room of her Kent house on April 7.
Police later found 6.9g of heroin inside a cupboard and a syringe containing residue of the drug inside a sweet box next to the bed.
Cohen told the inquest that he had gone to stay with his parents in London with the couple’s two sons, Astala, two, and one-year-old Phaedra on the weekend before she died. He said he last spoke to her on Sunday night and that his father dropped Phaedra back to the house, but when he couldn’t reach her, he returned to the home with his mother and Astala.
North West Kent Coroner Roger Hatch said the death of Peaches had been “drugs-related”.