The cavity field spectra of two coupling twolevel atoms interacting with twomode field through Raman process in Kerr medium cavity are studied. By solving the eigenequation, the cavity field spectrum expression is given out and some numerical results for the initial twomode field in pure number states are presented. It is found that the Kerr effect shifts the position of peaks rightward, and affects the height, frequency and number of the peak in the case of weak initial fields. An asymmetric spectral structure appears. When the Kerr effect is strong, the influence of the atoms coupling on the spectra is restrained. The spectral structure is dependent on the Kerr effect mostly. If the field is strong initially intensities of all the peaks are enhanced by atoms coupling interaction for the cavity without Kerr medium; along with accretion of Kerr effect, the main peak near the resonant frequency becomes higher and saturated soon, and the side peaks split and become lower.