The entanglement dynamics of two two-level atoms which are respectively trapped in two independent dissipative single-mode cavities and strongly driven by the classical fields is investigated analytically utilizing the super operator method. It is found that the entanglement is not related to the initial value of the cavity coherent states. The driving field enhances the entanglement sudden death for small dissipation of the cavity, while it protects the entanglement from sudden death for large dissipation in the presence of strong driving field. These results show that even in the bad cavity (with large decay rate), the entanglement can be free from sudden death with the assistance of classical driving field.