This study investigates the thermoluminescence characteristics of Eu/Mg doped sodium silica borate glass for thermoluminescence dosimeter. Two sets of glass samples doping with Eu2O3 and co-doped with MgSO4 with compositions (Eu2O3)x (Na2O)0.1 (B2O3)0.6 (SLS)0.3-x and (Eu2O3)0.01 (Na2O)0.1 (B2O3)0.6 (SLS)0.29-y (MgSO4)y respectively with x and y = 0, 0.005, 0.01, 0.03, and 0.05 mol % were prepared using a melt-quenching technique. XRF analysis revealed a SiO2 content of 70.81 wt% from the SLS powdered sample. The semi-crystalline phases were identified for all glass samples. The glasses were annealed for 2 h at 400 °C and exposed to X-ray with an absorbed dose of 500 mGy, a tube potential of 80 kVp, focus to film distance (FSD) of 100 cm, and a tube load of 64 mAs. The glow curves were analyzed to determine various characterizations of a thermoluminescence dosimeter of the glass. For NaSBEu, only 0.01 mol% Eu2O3 was sensitive to the X-ray. The glass content NaSBEu0.01 was co-doped with varying contents of MgSO4. The sample containing 0.03 mol% MgSO4 demonstrated the most favorable TL response, exhibiting superior TL attributes, including minimal detectable dose, fading behavior, sensitivity, linearity, reproducibility, and effective atomic number. These findings strongly indicate that glass incorporating magnesium in the sodium silica borate composition has promising potential to be regarded as a dosimeter for low radiation doses.