Police have named the man discovered hanging in Leechpool Woods in Horsham on Sunday (May 18).
He is Robert Bruce, 38, of Ifield Road, Charlwood, Surrey.
A police spokesperson added that an inquest has not yet been opened and adjourned.
Police were called to the scene at 9.40am after a member of the public discovered the body.
The woods, off Harwood Road, were then partially closed to the public while emergency services, including paramedics, dealt with the incident.
Police are not treating the matter as suspicious.
A Sussex Police spokesperson said: “Police were called to the area after a member of the public believed he had seen a deceased male.
“Police have located the male. Police cordoned off the area to preserve the dignity of the male.
“The matter is not being treated as suspicious and the woods are now open again.”
Initial reports indicated the man was local to Horsham, however these have been dismissed.