The influences of Kerr effect on atomic populations,photon distribution,mode-correlation properties,Cauchy-Schwartz inequality and the difference squeezing of field in the system of a SU(2) coherent field interacting with a Λ-type three-level embedded in a high-Q cavity filled with Kerr medium are investigated.It is pointed out that the relatively strong Kerr effect can induce the atomic Rabi oscillation to exhibit explicit collapse-and-reclaim phenomenon,and will reduce nonclassical correlation extent of the field,the appropria...