In this report, the information about the initial saute of a two-level system in a cavity is supposed to have nothing by using the principle of maximal entropy. The squeezing behavior of a two-level atom interaction with the cavity field are studied. We have obtained an important result that the strong squeezing of the radiation field, when the atom stunS initially in an arbitrary statistical mixed state and initial exciting of the field is intensive enough, is close to those very much that the atom lies in a pure state initially. In the same time, the mixed-state limits of squeezing occurring are discussed.