Police say the woman’s body found on Calton Hill is being treated as non-suspicious.
The grim discovery was made on a path near Waverley Place at around 4.30am yesterday.
An extensive police cordon was erected on Waterloo Place and Regent Road while forensics officers carried out inquiries.
It is believed that a member of the public found the body near the bottom of the city landmark and alerted the emergency services.
A police spokeswoman said: “Police in Edinburgh were called to Calton Hill at around 4.30am after the body of a woman was found on a footpath off Waverley Place. The death is thought to be non-suspicious and a report will be sent to the Procurator Fiscal.”
Traffic diversions were put in place while staff at nearby offices were allowed through. The cordon was lifted at around 10.15am.