Officers were called to Church Road in Aldingbourne at 9.44am yesterday morning, where a man had been found dead.
Police said his injuries were ‘consistent with the discharge of a firearm’.
A firearm was recovered from the scene.
A post-mortem examination will be carried out in due course but the death is not being treated as suspicious.
Detective Inspector Alan Pack said: “I would like to thank people for their patience while the matter was investigated, causing some disruption to local traffic.”