In this paper we present a numerical analysis of dynamic features of the levitation system generated by an interaction between a levitated permanent magnet (PM) and a high-T c superconductor (HTSC) excited by an oscillatory external source. The obtained results show that the value of the frequency (f free) of the PM displacement in the case of the levitation system generated by an interaction between a levitated PM and a fixed HTSC is equal at the resonance frequency (f re) of the levitation system generated by an interaction between a levitated PM and HTS excited by an oscillatory external source and the resonance frequency (f re) is mainly dependent upon the cooling position (Z 0) and the mass of the PM. The numerical problem in this paper is solved by using the control volume method (CVM).