The dynamical behaviors of two entangled two-level atoms, which interact with a single-mode cavity field and driven by the classical field are investigated. The Tavis-Cummings model in which the dipole-dipole interaction between two atoms and the classical driven strength exists simultaneously is studied. By means of numerical calculations, we analyze the effect of the classical field driven strength, dipole-dipole interaction between two atoms and the detuning between atoms and cavity field on the entanglement dynamical properties of two atoms. Meanwhile, we discuss the optimal region of dipole-dipole interaction between two atoms and the classical field driven strength in the case of resonance and offresonance between atoms and cavity field. The result shows that when we choose the appropriate conditions, the phenomenon of entanglement sudden death can be inhibited.