Emission spectra of two atoms coupled by dipoie-dipole force in two-mode cavity fields are studied. It is found that emission spectra manifest the following new properties when two-mode cavity fields are initially in various-number states. When two fields are all in vacuum states, the spectrum shows six peaks and five peaks alternately, with the increase of δ=ga/g. Furthermore, the non-symmetric five peaks appear in the spectrum when δ is very small, which reflects the atomic dipole-dipole interaction more sensitively compared with the spectrum of two atoms in a single-cavity. The spectrum consists of symmetric six peaks and distance between each two symmetric peaks is proportional to (2n2)1/2g when one of the fields is in the vacuum states and the other is a strong field. However when one of the fields is in the vacuum state and the other in number state and δ=21/2,the spectrum will generally show non-symmetric six peaks structure, but when n2=5, it becomes non-symmetric five peaks structure.