The statistic properties of photon in the system of a two-mode entangled coherent fields interacting with a V-type three-level atom in Kerr medium are investigated by solving Schr??dinger equation and numerical calculations. The effects on the statistic properties of photon induced by the degree of entanglement of the two-mode entangled coherent fields, the coupling degree of the Kerr medium with the light field, the mean photon numbers and the ground state probability amplitude of atomic initial state are analyzed. The results indicate that the influence of the degree of entanglement of the two-mode entangled coherent fields on the statistic properties of photon isn't noticeable. The enhancing of Kerr effect results in the increase of the oscillating frequency of the time evolution curve of statistic properties of photon and the decrease of the oscillating amplitude of the curve. When the mean photon numbers of the mode 1 remain unchanged and the mean photon numbers of the mode 2 decreased, the oscillating amplitude of the curve increases.