Purpose -The purpose of this paper is to evaluate the second-and third-order elastic constants (SOEC and TOEC) and then velocities and attenuation of ultrasonic waves along unique direction in hexagonal II-VI group semiconductors, cadmium chalcogenides (CdS, CdSe and CdTe) compounds at room temperature and obtained the ultrasonic behaviour and mechanical properties of these compounds. Design/methodology/approach -Lennard-Jones potential approach is applied to evaluate the SOEC and TOEC. Findings -The value of ultrasonic attenuation of CdSe is smallest in comparison to other chosen materials. So, CdSe is more ductile and more pure than others. Thus, the mechanical properties of CdSe are better than those of CdS and CdTe, because CdSe has high-elastic constants and low-ultrasonic attenuation. Originality/value -Obtained results, together with other well-known physical properties, may expand future prospects for the industrial applications and study of these semiconductor materials.