The results of Peaches Geldof's autopsy on Wednesday were inconclusive, according to Kent Police.
A toxicology analysis must now be conducted in order to determine what caused the death of the 25-year-old model-writer-socialite, with authorities noting that test results could take several weeks.
Geldof, the second daughter of musician Sir Bob Geldof and the late TV presenter Paula Yates, died on Monday.
According to the BBC, police were called to a home in Kent to follow up on a "report of concern for the welfare of a woman." Geldof was later pronounced dead by the South East Coast Ambulance Service.
Officers continue to investigate the circumstances surrounding Geldof's death to compile a report for the coroner and are treating her passing as non-suspicious.
Geldof was married to musician Thomas Cohen and had two young sons.
Shortly after her death, Geldof's father released a statement on behalf of the family, saying, "We are beyond pain. She was the wildest, funniest, cleverest, wittiest and the most bonkers of all of us. Writing 'was' destroys me afresh. What a beautiful child. How is this possible that we will not see her again? How is that bearable?"
He added, ""We loved her and will cherish her forever. How sad that sentence is. Tom and her sons Astala and Phaedra will always belong in our family, fractured so often, but never broken."