A kind of zerophaseshift gap appears in the onedimensional photonic crystal composed ofalternate epsilonnegative materialand munegative material, and the gap does not vary with electromagnetic wave incident angle and polarization direction. To tune the defect mode frequency, a layer of anisotropic media is introduced into the center of that photonic crystal. The transmission spectra are investigated by Berreman 4×4 matrix. The result indicatesthat frequency of defect mode can be tuned by rotating the anisotropic media around zaxis in laboratory coordinate, and does not changed by different incident angles. These phenomena can be applied to tunable single tunnel omnidirectional filter in light wave.