In the present work, features of the ionizing radiation shielding of Bi2O3-SiO2-B2O3 glass powders with different Bi2O3 contents (45–60 mass%) has been investigated by using GAMOS (version 6.2). The validation of generated GAMOS simulation geometry has been provided by comparing the results with standard XCOM data for mass attenuation coefficients of glass powders. The Monte Carlo simulations were used to score photons that traveled in an absorber within the energy range of 0.01 MeV to 20 MeV, depending on the parameter under study. The simulation model involved a monoenergetic point source producing a pencil beam, absorber, and detector. We have calculated the mass attenuation coefficient (MAC), Half-value layer (HVL), Tenth-value layer (TVL), and Mean Free Path (MFP). The greatest linear attenuation coefficients in the whole energy range are related to Bi60 and the lowest were to Bi45. The obtained results were compared and these results are in good agreement with the obtained values from the XCOM program