The entropy evolution properties of the field in the system of the cascade three-level atom interacting with binomial state for radiation field is studied. The results indicate that the field entropy is influenced by the field parameters η and M. With the increasing of the value of η or M. the maximum value and average value of the field entropy is increasing. and the related degree of the field-atom is getting stronger and stronger. When the value of η M is large, the evolution curves of the field entropy display the phenomenon of collapse and revival, with the increasing of time, the revival oscillation frequency of the evolution curves of the field entropy becomes large obviously.