In this article we consider the interaction between two two-level atoms and a squeezed field mode. The atom-atom entanglement is discussed by the evolution of the concurrence. von Neumann entropy is used for studying the dynamical behavior of the nonlocal correlation between the squeezed field and two atoms. It is found that the squeeze parameter, atomic motion though the velocity and acceleration parameters play essential roles in the evolution of the atom-atom entanglement and the squeezed field-two atoms nonlocal correlation. The phenomena of the entanglement sudden death and sudden birth is explored.