Police officer attended a cemetery outside St John The Evangelist Church in Moulsham Street on Thursday morning, responding to reports that a man had died suddenly.
It is understood that the man, who has not been identified, was a rough sleeper.
The news comes as it was revealed one in every 200 people in Britain is homeless.
Local business owner Georgina Pierson discovered the man’s body when she was walking her dog early on Thursday morning.
She told Essex Live: "I saw him slumped over the steps by the boiler room. I said hello like I always do and he didn't move.
“I phoned the ambulance and they told me to try touching him to see if he responded and he didn't."
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A spokesperson from Essex Police told Yahoo News UK: "We were called by the ambulance service shortly before 11.20am on Thursday, December 5, with reports a man had died suddenly near St John’s Church in Moulsham Street, Chelmsford.
“His death is not being treated as suspicious and a file will be prepared for the coroner.”
A statement from the East of England Ambulance service read: “We were called at 11.04am with reports of a person who was unresponsive in Moulsham Street, Chelmsford.
“We sent an ambulance and a rapid response vehicle. Despite our best efforts, a man sadly died at the scene.”
Homelessness continues to be a growing problem across the UK.
According to a Shelter report in 2018, at least 320,000 people are homeless in Britain.
Government figures released earlier this year showed there were 4,677 rough sleepers in England.
The sad news comes on the same day Jeremy Corbyn unveiled a package of measures that Labour will implement to end rough sleeping within five years.
This includes £100 million for emergency shelters in the coldest months and an extra £1bn a year to pay for staffing and support for the homeless.
Yahoo News has contacted Shelter and Homeless Link for comment.