The atomic dipole squeezing effects in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent states field are investigated by means of Schr?dinger equation solution and numerical calculations. The effects of the atomic initial state,mean photon numbers of field,the degree of the entanglment for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms on the atomic dipole squeezing effects are discussed. The results show that dipole squeezing effect does not appear for the Bell state β|₀₀>,|β|₀₁> and|β₁₁>,however there can appear the dipole squeezing effects under some conditions for the Bell state β|₁₀>. In the case,the dipole squeezing effect not only depends on the mean photon numbers but also on the degree of entanglement of the two-mode entangled coherent field.