In this study linear/nonlinear optical and γ-photon attenuation competences of dysprosium oxide (Dy3+ ions) doped zinc-aluminoborosilicate glasses based on (40−x) B2O3—20SiO2 –10Al2O3 –20NaF—10ZnO—xDy2O3, (where x = 0, 0.1, 0.5, 1.0. 1.5, 2.0 and 2.5 mol%) were investigated. Different types of calculation methods along with Monte Carlo simulations were used for determination of linear/nonlinear optical and γ-photon attenuation competences. Both molar refractivity (Rmolar) and molar polarizability (α
molar) decreased as Dy3+ ions concentration increased. The optical transmission (Toptical) of the investigated glasses varied inversely to their reflection loss (Rloss). The obtained values of metallization criterion (Mcriterion) quantity showed that the studied glasses are insulator materials. The results also showed that Dy2.5 sample with the highest amount of Dy2O3 additive has the highest mass attenuation coefficients (μ
m) and effective atomic number (Zeff) values. On the other hand, Half (HVL) and tenth (TVL) value layers were reported as (HVL, TVL)Dy0.0 > (HVL, TVL)Dy0.1 > (HVL, TVL)Dy0.5 > (HVL, TVL)Dy1.0 > (HVL, TVL)Dy1.5 (HVL, TVL)Dy2.0 > (HVL, TVL)Dy2.5. The maximum and minimum values of exposure and energy absorption buildup factors (EBF and EABF) were reported for Dy0.0 and Dy2.5 samples, respectively. It can be concluded that studied glasses are candidate materials for optical fibers and photonic devices. It can be also concluded that Dy2.5 sample is the superior sample in terms of gamma-ray attenuation competences.