It was studied for an atom in multiphoton Jaynes-Cummings model for a high Q cavity filled with the Kerr-like medium. The influences of coupling constant x and detuning △ on the atomic system action were discussed emphatically. The results show that the interaction between the two-level atom surrounded by the Kerr-like medium and the multiphoton of single mode possesses collapse, revivals and dipole squeezing. The dynamic characteristic evolution of atom is closely con...