Applying the method of coherent states orthogonalization expansion, quantum properties in a system interacting a V type three-level atom with Schr?dinger cat state were studied without rotating wave approximation (RWA). The energy spectrum of the V type three-level atom was calculated precisely, and the fidelity of the system was estimated. When the atom initially is in the ground state, the amplitude of the second order coherence degrees of the odd or even coherent state decreases and the light field shows bunching effect and antibunching effect alternately with the original strength of light field increasing. Similarly, when the atom initially stays in a superposition state, the amplitude of the second order coherence degrees of the odd or even coherent state decreases and the light field shows bunching effect only with the original strength of light field increasing. As the coupling coefficient decreases, the amplitude of the second order coherence degrees decreases and the light field shows antibunching effect.