Quaternary glasses with a 59B2O3-29SiO2-2LiF-(10 − ) ZnO-TiO2 composition using the melt-quench techniques were prepared. XRD examined the nature of prepared glasses. The FT-IR spectra was studied for the changes in the structure of these glasses. While the density is increased, the molar volume of the glass system is reduced. The velocities and elastic modulus of these glasses were experimentally and theoretically based on the Makishima-Mackenzie model evaluated. Besides, for the studied glasses, the radiation shielding efficiency was investigated by Phy-X/PSD and XCOM software. These glasses were found to have an abnormal attenuation, structural, and density relationship. The mass attenuation coefficient (μ/ρ), linear attenuation coefficient (LAC), half-value layer (HVL), tenth value layer (TVL), and effective atomic number (Zeff), of glasses, have been designed to simulate for gamma photon energies between 0.015 and 15 MeV. MAC values calculated using Phy-X/PSD and XCOM were compared and was observed in good agreement with the other.