He was discovered "unconscious and not breathing" by charity workers outside The Bedlinen Warehouse shop in Belfast on Friday morning.
The dead man was from the Dublin area and had been offered accommodation the night before, according to reports.
The Northern Ireland Ambulance Service confirmed it was called at 8.30am on Friday morning.
The area was quickly sealed off as forensics teams scoured the scene for evidence.
It is tragic that people continue to die on our streets despite the wide range of support being offered
Chief executive of the Welcome Organisation- which helps the city's homeless – described the death as as a tragedy.
"It is tragic that people continue to die on our streets despite the wide range of support being offered," Sandra Moore, told the BBC.
"The sad reality is that the individuals involved in rough sleeping are amongst the most vulnerable in society, all too often suffering mental ill health, drug or alcohol addiction, or all three.
"It is not at all uncommon for people in this category to choose to spend time street drinking or taking legal or illegal substances and then either choosing not to return to their accommodation or take up the offer of a temporary bed in a hostel.
"While there is a pressure on beds in the city, this doesn't necessarily equate to the number of people sleeping rough."
Police said they attended a report of a sudden death of a man and a post mortem examination is due to be carried out to establish the cause of death.
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