Elastic moduli parameters and photon attenuation competence of phosphate (P2O5)/sodium (Na2O)/calcium (CaO) glasses with form 45P(2)O(5)-(55-x)Na2O-xCaO: x = 0-55 mol% (PNC-0:PNC-55) have been estimated and clarified. The development in Poisson's ratio and elastic moduli parameters (bulk, Young's, shear, and longitudinal) of the heavier CaO content of the PNC-glasses were proved through Makishima-Mackenzie (M-M) and bond compression (B-C) models. The B-C bulk elastic (KB-C) modulus was found to raise from 71.4 to 95.16 GPa, while the M-M bulk (KM-M) modulus was increased from 22.48 to 40.75 GPa for PNC-0 (glass sample free with CaO) and PNC-55 (glass sample rich with CaO), respectively. The highest mass attenuation coefficient (MAC) values were reported for PNC-55 sample, whereas the lowest were reported for PNC-0 sample. Half value layer (HVL) values were reported as 1.6526 cm, 1.6181 cm, 1.5734 cm, 1.5275 cm, 1.4847 cm, 1.441 cm, and 1.4172 cm for PNC-0, PNC-10, PNC-20, PNC-30, PNC-40, PNC-50, and PNC-55 samples at 0.1 MeV, respectively. The effective atomic numbers (Z(eff)) were reported as 10.2658, 10.4393, 10.6149, 10.7924, 10.9719, 11.1536, and 11.2451 for PNC-0, PNC-10, PNC-20, PNC-30, PNC-40, PNC-50, and PNC-55 samples at 0.1 MeV, respectively. The PNC-55 sample was reported with a maximum value of effective atomic weight for absorption (A(eff)). The lowest exposure and energy absorption buildup factors (EBF and EABF) values were discovered for the PNC-55 sample, while the highest EBF values were found for the pure PNC-0 sample. Finally, one can conclude that the PNC-55 is a superior for gamma-ray attenuation competencies.