The cavity quantum electrodynamics has been applied to investigate the strong coupling interaction dynamics process between the microcavity field and the atom. The high quality cavity is a key to the realization of cavity quantum electrodynamics. Photonic crystal nanocavities are with small mode volumes and large quality factors. Lights are confined within the nanocavity. They can be used for cavity QED experiments of Fabry-Perot cavity. We have provided a realization of a quantum entanglement method for quantum information processing. In this paper, we discuss the entanglement swapping in the strong coupling process between two level atoms interacting with the photonic crystal microcavities fields of coherent states. We investigate the atomic level population and the entanglement degree of the system. We have found that the atomic maximal entangled state can be transformed into the photonic crystal microcavity maximal coherent entangled state cavity field, whereas the photonic crystal microcavity maximal coherent entangled state cavity field can be transformed into the atomic maximal entangled state.