In this article, the dynamical properties in the system of two identical twolevel entangled atoms interacting with a binomial optical field are studied by means of time evolution operator and numerical calculations. The results show that the time evolution of atomic population and atomic dipole squeezing depends on the degree of entanglement of the initial two identical twolevel entangled atoms and the parameters of the binomial state optical field. The atomic dipole moment can be completely squeezed via choosing appropriate parameters of the system.