【正】 We investigate the entropy squeezing in the system of a superconducting charge qubit coupled to a singlemode field.We find an exact solution of the Milburn equation for the system and discuss the influence of intrinsicdecoherence on entropy squeezing.As a comparison,we also consider the variance squeezing.Our results show that inthe absence of the intrinsic decoherence both entropy and variance squeezings have the same periodic properties of time,and occur at the same range of time.However,when the intrinsic decoherence is considered,we find that as the timegoing on the entropy squeezing disappears fast than the variance squeezing,there exists a range of time where entropysqueezing can occur but variance squeezing cannot.