Officers were called to the scene just after 6.30am this morning a property in Novar Drive, Hyndland.
Emergency services attended and a woman was found seriously injured in the garden of the property.
Despite efforts to save her, the 36-year-old died at the scene shortly after.
A spokeswoman for Police Scotland said: “Enquiries are ongoing to establish the full circumstances of what happened. However, it is not believed to be suspicious.”
A report has been sent to the Procurator Fiscal.