[en] The method of hyperspherical functions and the quasiparticle-phonon nuclear model are applied to microscopic study of elastic and inelastic heavy-ion scattering. The heavy-ion interaction potential is calculated within the folding-model using the M3Y effective nucleon-nucleon interaction. The scattering sup(3, 4)He, ⁶Li and ¹⁶O ions on sup(58, 60)Ni, ⁹⁰Zr and ²⁰⁸Pb has been studied. Since the nuclear structure information is embodied in the nuclear wave functions that determine the nuclear densities of the colliding nuclei, some influence of the microscopic nuclear wave functions on the calculated cross sections has been investigated. Results of calculations reproduce well the experimental data, and this indicates that the validity of further application of the method of hyperspherical functions and the quasiparticle-phonon model to the microscopic description of heavy-ion scattering