The gamma radiation shielding features of four different boro-tellurite glasses with chemical composition xTiO2-yBi2O3-zB2O3-(100-x-y-z) TeO2 (x=5, 10 mol%, y=10,20, 25, and 30 mol% and z=20 and 30 mol%) were examined using FLUKA Monte Carlo code. The simulations were run for photon energies of 245, 356, 511, 662, 964, 1173, and 1332 keV emitted by 152Eu, 133Ba, 22Na, 137Cs, and 60Co. The obtained results show that the Bi2O3 addition increased the mass attenuation coefficient (MAC) ranges from 0.2559 to 0.3584 cm2/g, 0.1454 to 0.1869 cm2/g, 0.0992 to 0.1167 cm2/g, 0.0803 to 0.0902 cm2/g, 0.0620 to 0.0667 cm2/g, 0.0549 to 0.0581 cm2/g, and 0.0511 to 0.0535 cm2/g for 245, 356, 511, 662, 964, 1173, and 1332 keV, respectively. The photon attenuation parameters, such as half-value layer (HVL), ten-value layer (TVL), and mean free path (MFP), were also studied. The results showed that Bi2O3 substitution positively impacts the produced glasses' photon attenuation abilities.