Two coupled cavities each containing one twolevel atom are considered, which interacts with cavity via a twophoton hopping. The evolution of the state vector of the system is given when the total excitation number equals two. The squeezing of field is investigated. By means of the numerical calculations, the influences of cavitycavity coupling constant and atomcavity coupling constant on the antibunching effect of field are discussed. The obtained results show that the field does not display squeezing, and the antibunching effect of field has a nonlinear relation with cavitycavity coupling constant or atomcavity coupling constant.