In the present research, several materials that can be used as shields against ionizing radiation (gamma and neutrons) were studied. The metallic compounds shown in Table (1) were used to test them in shielding against γ rays. The μ_t was found using NIST-XCOM within the energy range (59.53-10^9) keV, and it became clear that there was a difference in their attenuation values, and the results showed that the best of these compounds in the attenuation of γ rays were (Fe_3 O_4) because it contains a large percentage of iron with a relatively large Z. Five glass samples shown in Table (2) were also studied to evaluate their ability to attenuate fast neutrons, using the SAZ code written in the Python programming language. The most important of these parameters is the effective removal cross-section for fast neutron Σ_R. The results showed that the best sample was (S5), as it has the biggest value for Σ_R. It also turns out that the best sample from the group of samples studied in Table (3) is Steel Alloy because it has the best neutron attenuation parameters.