Police were called to a property in West Road, Oakham on Monday evening (20th July) where the body of a man was found.
The Ambulance were called to the body of a man found in Oakham who then notified the police.
A statement from Leicestershire and Rutland police said the death of the 39 years old man is being treated as unexplained and enquiries are continuing into the circumstances.
A post mortal examination has taken place and further tests are being carried out.
The statement added that if anyone has any information which may assist with the investigation they are asked to ring 101 and talk to the police.