Analysis and prediction have been carried out for elastic properties of quaternary tellurite xAg2O–(35–x) (0.5V2O5–0.5MoO3)–65TeO2 and xWO3–(75–x)B2O3–10MgO–15TeO2 glass systems. This has been achieved on the basis of Makishima–Mackenzie's theory, Rocherulle et al. model and Abd El-Moneim and Alfifi's approaches. It has been found that, both Makishima–Mackenzie's theory and Abd El-Moneim and Alfifi's approaches can be applied successfully to predict the compositional changes in elastic moduli of WO3–B2O3–MgO–TeO2 glasses. In case of Ag2O–V2O5–MoO3–TeO2 glasses, the best correlation between theoretical and experimental elastic moduli can be achieved if the effect of the basic structural units TeO4, TeO3, VO4, VO5, MoO4 and MoO6 is taken into account. In compared to Makishima-Mackenzie's theory, Rocherulle et al. model appears to be more applicable for predicting Poisson's ratio. Moreover, the compositional changes in bulk modulus are predictable from the molar volume.