A Monte Carlo computer program was developed to precisely calculate the yield and the characteristics of the secondary gamma-radiations produced in an irradiated iron medium by fast neutrons of different initial energies (14.1 and 7.0 MeV) in an arrangement of a normally incident point parallel beam of neutrons to enable the analytical treatment of the gamma-radiation production in the complicated practical irradiation environments. A parametric study of the calculations of the flux-energy and angular distributions of the gamma-radiations in the medium was carried out, considering the neutron's initial energy and the thickness of the medium as the two important parameters.