Officers were in Ashdown Place this morning, off Occupation Road, and were at the scene for several hours.
A Northamptonshire Police spokeswoman said the death is not being treated as suspicious and that a report will be prepared for the coroner.
The spokeswoman said: “Police officers were called to the sudden death of a man in Ashdown Place, Corby, at about 8.30am this morning (January 5).
“We are not treating this death as suspicious and will be preparing a report for the coroner.
“Our thoughts are with this man’s family and friends at this very sad time.”