A new semi-empirical relation was presented to correlate the measured ultrasonic attenuation coefficient at room temperature with the packing density, dissociation energy per unit volume and first-order stretching force constant of the glass. A comprehensive study was carried out to examine the validity of this relation as well as Makishima and Mackenzie theory for TiO2-doped 30CaO-30Al(2)O(3)-40B(2)O(3) and x(1) Ag2O-x(2) V2O5-(1-x(1)-x(2)) TeO2 glass systems. It has been found that the correlation between ultrasonic attenuation coefficient and both packing density and dissociation energy per unit volume was achieved through first-order stretching force constant of the glass. Also, the theoretically calculated values of bulk modulus are in a good agreement with the corresponding experimentally measured values. Moreover, fractal bond connectivity and number of network bonds per unit volume play an important role in determining the changes in the structural and acoustical properties of the investigated glasses. (C) 2012 Elsevier B.V. All rights reserved.