Shifnal's St Andrew's Churchyard was closed off by the emergency services this morning, after the discovery of the man.
A spokesman for West Mercia Police confirmed that a man had died, but said the death was not being treated as suspicious.
He said: "Around 7.30am this morning we received a report concerned for the safety of a man in the churchyard of St Andrew’s church, Shifnal.
"We attended with West Midlands Ambulance Service and sadly a 46-year-old man from Shifnal had died.
"The death is not being treated as suspicious."