A polarization-independent two-port wave-guided multi-wavelength tunable fiter is designed based on the electro-optic effect of birefringent Lithium Niobate (LiNbO3) crystal. Mode-coupled electrode and phase-shifted electrode periodically alternated cascaded are set on each arm of an asymmetric interferometer to realize mode conversion. Z-domain analysis of Jones matrix is utilized to get the values of driving voltages so that wavelengths can be selected simultaneous. Narrow-band multi-wavelength with arbitrary distribution is simulated successfully in Free Spectrum Range (FSR). 100% transmittance is obtained at each wavelength. Number of wavlengths has an influence on sidelobe of each wavelength. And sidelobe of 12 dB can be realized when three wavelengths are selected. Comb filter can also be obtained using this method, which has a flat passband and sidelobe of more than 15 dB.