A 25-year-old man was found dead outside John Marshall High School on West 140th Street.
A custodian found the body of Bradley Riggins of Cleveland in the back of a covered area of the parking lot.
The Cuyahoga County Medical Examiner was called to the scene before 7AM Tuesday.
School officials canceled classes for the day so the police could conduct their investigation.
The Medical Examiner will now do an autopsy to determine a cause of death.