Toxicology results have shown that there were no illegal substances in her body at the time of her death, according to her family.
They say the tests indicate alcohol was present but it canít yet be determined if it played a role in the singerís death last month.
Winehouseís family thanked the police and added that they awaited the outcome of an inquest on 26October.
Winehouse, 27, was found dead in her house on 23 July.
She had a well-publicized struggle with drinks and drugs.