The wave-function of the system of two-mode squeezed vacuum field interacting with N-type four-level atom is solved exactly, and tile quantum properties of the light in the system are studied by means of numerical method. The results of the studies indicate that the fluctuations of two quadrature components of light can be squeezed periodically, and this squeezability is related to the initial state of the system. The statistic properties of the photon depend on the initial state of the system, and the correlation of the two mode of light is non-classical.