The cavity field spectra of two-mode field both in the binomial state interacting with a two-level atom through intensity-dependent coupling in an ideal cavity is investigated. The results for the weak initial fields are calculated. The influence of the quantum interference on the cavity field spectra is discussed. Its found that when the difference of the initial two-mode field frequency Δ is larger than g （g is the coupling coefficient between atom and the field） the influence of the quantum interference on the spectra structure can be ignored, the system spectrum is only the superimposition of the two mode spectra. When Δ is smaller than g the quantum interference between the two-mode spectra is especially obvious. The quantum interference between the two-mode spectra should not be considered when the initial field is stronger.