We study interaction between a three-level equidistant radiator (atom, molecule) and the singlemode cavity field. In present two-photon Jaynes-Cummings model of a three-level atom the dipole moment matrix transition elements between the adjacent energy levels d12 and d23 are supposed to be different. Moreover, in our model three-level atom is localized in optical cavity in the ground vibrational state, in which vibrational quantum number 0 nv  .   We have assumed that three-level atom is placed in given position of the standing wave of cavity. Based on modern optical achievements it is possible to localize a small number of emitters (atoms, ions, molecules) in various geometrical systems like optical cavities, quantum dots, optical lattices and dielectric or disordered media.   In proposed model at initial moment t=0 three-level atom is prepared in the first excited state 1 е and quantized cavity field in the squeezed vacuum state . By using exact analytical solution for state-vector of the coupled atom-field system found with the help of Schrodinger equation quantumstatistical properties of the quantized cavity field are examined as a function of the  and 1223 /dd parameters. Much attention is devoted to the amplitude-squared squeezing of the quantized cavity field [1]. In this situation higher-order squeezing of cavity field has the tendency towards oscillations, but exact periodicity of these oscillations is violated by the analogy with the micromaser model [2] and second-order squeezing in two-photon JCM of a three-level atom [3].