Zinc Alumino Bismuth Borate (ZnAlBiB) glasses doped with terbium (Tb³⁺) ions with a chemical composition 20ZnO–10Al₂O₃–(10−x)Bi₂O₃–60B₂O₃−xTb₂O₃ (x=0.1, 0.5, 1.0, 1.5, 2.0, 2.5 and 3.0 mol%) were prepared by a conventional melt quenching method and studied their optical absorption, photoluminescence and decay spectral properties. The Judd–Ofelt (J–O) parameters evaluated from the experimental oscillator strengths were used to measure the radiative properties for the prominent luminescent transitions of Tb³⁺ ions such as ⁵D₄→⁷F₆, ⁷F₅, ⁷F₄ and ⁷F_3. The effect of Tb³⁺ ion concentration on the luminescence process observed in the visible region was discussed in detail. The emission spectra recorded for all the ZnAlBiB glasses doped with Tb³⁺ ions, show an intense peak in green region at 542 nm. The stimulated emission cross-section, branching ratios and quantum efficiency values evaluated for green emission (⁵D₄→⁷F₅) suggests the utility of these glasses for green luminescence applications. It was found that, within the concentration range investigated, 2.5 mol% of Tb³⁺ doped ZnAlBiB glass is most suitable for green luminescence applications at 542 nm in principle.