Police were called to Hogarth Park near Edinburgh Road in the east end of the city at 5:30pm yesterday.
The death is being treated as unexplained, with a post-mortem examination to be carried out.
Officers remain at the scene with a police cordon at the entrance to the park.
A Police Scotland spokesman said: “Formal identification is still to take place and a post-mortem will take place to establish the exact cause of death, which officers are treating as unexplained at this time.
“A report will be sent to he procurator fiscal.”