The optical, physical, X/gamma-rays, and thermal neutron shielding properties of the glass systems in formula xBaO: 10Na2O: 20ZnO: (70-x)B2O3 (x = 0, 10, 20, 30, 40, and 50 mol%) were examined. The glass systems were manufactured using the melt-quenching method. As the concentration of BaO in these glass samples increased, so did increase their densities and refractive indices. The BaO behaves differently on these glass structures depending on their composition, according to the molar volumes. The Ba2+ functions as a network modifier for compositions between 20 and 50 mol% of BaO, whereas it is incorporated as a network former for compositions less than 20 mol%. The X and gamma-rays shielding properties, the mass attenuation coefficients, half value layer, and the mean free path were compared between the experiment, FLUKA, and XCOM. Additionally, X and gamma-rays shielding characteristics were compared with those of certain standard materials. It was found that the increasing BaO concentration improved X and gamma-rays shielding properties. Moreover, the thermal neutron was also discussed on shielding properties.