The photonic crystal(PC)hetero-structure is a multilayer system formed by a series of multiple one-dimensional PCs.Each PC is composed of a metamaterial and conventional material.Transmission spectra of two different structures were simulated numerically with transfer matrix.In the frequency region from 1.0 to 10.0 GHz,there are three photonic band-gaps(PBG)for the structure of(AB)6(CD)4,but there is no resonant mode,in the same frequency range,resonant modes exist in each PBG for the structure of((AB)6(CD)4)2.For the frequency regime of first PBG,as the incident angle increases,the number of TE wave and TM wave resonant modes decrease and the frequency shift of resonant modes happens.The omnidirectional resonant mode is found at 2.40 GHz for TE wave but not TM wave.