In this paper we have studied the interacting system of a V-type three-level atom with uncorrelated two-mode squeezed coherent states in a high-Q cavity filled with Kerr-like medium. It is shown by numerical calculation that the time evolution of atomic level occupation has a additional structure, the correlation function and the degree of second-order coherence of the uncorrelated two-mode squeezed light field are affected by squeezing parameters and Kerr medium. The fluctuation of the time evolution curve is decreased when the squeezing parameters are increased. In addition, the Kerr medium caused a low-frequency fluctuation on the time evolution curve.