[en] An approach based on the finite remperature quasiparticle phonon-nuclear model with account of interaction (2p-2h) at finite temperature taken into account is suggested for calculations of the damping of giant multipole resonances in heated even-even spherical nuclei. The strength functions for the isovector giant dipole resonances (IV-GDR) are calculated in ⁵⁸Ni and ⁹⁰Zr for temperatures from 0 to 3 MeV. The results show that the contribution of the interactions with (2p-2h) configurations to the IV-GDR spreading width changes weakly with growth temperature. The IV-GDR centroid energy decreases slightly with increasing temperature. The nonvanishing superconducted pairing gap due to thermodynamical fluctuations at finite temperatures is included. 61 refs.; 7 figs.; 1 tab