Police were called to the Infirmary Road site at about 6pm yesterday after receiving reports of a “sudden death”.
A member of college staff found the body.
The death is not being treated as suspicious.
A formal identification is yet to take place but the man is believed to be 45 and from Staveley.
Stuart Cutforth, principal at Chesterfield College, said: “Our thoughts are with the family and friends of the deceased at this traumatic time.”