The entropy squeezing properties of the coherent field interacting with a pair of entangled atoms are studied by means of quantum theory. With the numerical method, the influence of two-atom's entanglement and field intensity on the field entropy squeezing properties is discussed. The results show that the initial entanglement of atoms and initial intensity of field as well affect intensively both time and depth of field entropy squeezing. The greater depth and longer time of field entropy squeezing appear when the pair of atoms are initially in the maximally entangled state. The weaker the field is, the better the entropy squeezing of field is.