The estimated bulk moduli and Poisson's ratio of binary, ternary, and quaternary rare earth tellurite glasses have been calculated using the bond compression model according to the cation-anion bond of each oxide present in the glass. Information about the structure of the glass can be deduced after calculating the number of network bonds per unit volume, the value of the average stretching force constant, the average ring size, the structure sensitivity factor, and the mean crosslink density. Comparisons between the calculated and the experimental elastic moduli and Poisson's ratio have been carried out. Also, the longitudinal and shear elastic stiffnesses of binary rare earth tellurie glasses are compared and analyzed with those of other binary rare earth glasses.