A synthetic, ethylene-propylene-diene terpolymer monomer (EPDM) rubber reinforced with carbon-black (N-220) as a filler with the addition of different concentrations of lead powder (0-500 phr), was developed to be used as a radiation shielding against -rays. Experimental studies on the influence of -radiation on the target samples were carried out using 137 CS (E = 0.662 Mev) and ( 60 Co with energies of 1.172 Mev and 1.332 Mev). The attenuation coefficient and HVL were improved by two ways; one way by increasing the concentration of lead powder at constant thickness and the other by increasing the thickness of the composite samples at a constant concentration of lead powder. A high attenuation coefficient and HVL was obtained for 400phr lead (μ=0.0852 and 0.141 cm -1 for Eγ = 0.662, and 1.172 Mev respectively). Good results were also obtained for HVL when using 400phr lead (HVL= 8.137, 4.915, and 5.627 cm for Eγ = 0.662, 1.172, and 1.332 Mev respectively). For testing the moderating fast neutron emitted from 239 Pu-9 Be, samples containing 100, 200, and 300 phr lead and 25 phr borax were used. The results showed good enhancement/improvement in the values of the total macroscopic cross section. As a result of using the X.com program, it was found that the values of the linear and mass attenuation coefficients were in a good agreement with the experimentation values for uniform and collimated beams. However, this could not be confirmed for heterogeneous beams.