A man's body has been discovered in a communal area of Avon Court on Avon Street, Rugby.
The report was made to police at 10.25am today, Wednesday November 22.
Avon Street is off Newbold Road, down the hill on the opposite side of the road to Rugby Police Station.
The man, who has not yet been identified, was pronounced dead at the scene.
Detective inspector Jon Belcher said: "Our enquiries are in their very early stages and at this time we are treating the death as suspicious.
"We'd like to speak to anyone who has information that will help us to establish how the man died or to identify him."
Anyone with information can call 101 and quote incident 118 of 22 November 2017.
Alternatively, information can be provided anonymously to the independent charity Crimestoppers on 0800 555 111 or via www.crimestoppers-uk.org