The aim of the present paper is to study equidistant three-level model with the intensity-dependent coupling (Buzek 1989) in the case when the dipole moment matrix transition elements between the adjacent levels are different. This system generalizes the problem of the equidistant three-level atom with equal dipole moment matrix transition elements, which is equivalent to the pair of the two indistinguishable two-level atoms (Enaki and Koroli 1999). In this situation the Hamiltonian of the coupled atom-field system has the following formformulawhere formula  is the atomic inversion operator, ω0 and ω are the frequencies of the atomic transition and the field, respectively, λ1and λ2are the atom-field coupling constants,  formula  is the photon number operator.