Abstract The fragmentation of two-quasiparticle states in doubly even spherical nuclei is calculated witin the quasiparticle-phonon nuclear model. The fragmentation is due to the interactions leading to the formation of phonons and to the quasiparticle-phonon interaction. The spectroscopic factors for the “particle-valence particle” states in 92 Zr are calculated. The agreement with the experimental data of the reaction 91 Zr(d, p) 92 Zr is obtained. The centroid energy E jj0 and width Γ jj 0 are calculated for the configurations excited in the (p, d) reactions on odd- A isotopes of Cd, Sn and Te. It is shown that the valence particle-hole 1 g 9 2 configuration is localized and the excitation energies of 7–9 MeV. The corresponding experimental data are well described. The fragmentation of the states {1 g 7 2 , 1 g 9 2 −1 }, {3 s 1 2 , 1 g 9 2 −1 }, {2 d 3 2 , 1 g 9 2 −1 } and {1 h 11 2 , 1 g 9 2 −1 } in the Sn isotopes is calculated. Their strength is concentrated at the energies of 6.5–9.0 MeV. It is stated that the resonance-like structures observed in the (p, t) reaction on 112–124 Sn at the energy of 7–9 MeV are specified by the fragmentation of these states.