Transmission characteristic of THz wave in ring resonator multi-layer metamaterials is studied by the finite-integration time-domain algorithm.The results show that for the multi-layer metamaterials composed with the same size,the resonance of them is much stronger as compared to the single-layer metamaterials.The value of resonant dip is from -17 dB to -44 dB at resonant frequency of 0.80 THz.For the multi-layer metamaterials composed with the different size,the bandwidth of the resonance spectrum is increased,the band at half maximum point is from 0.08 THz to 0.26 THz.An improvement in THz characteristics of ring resonator multi-layer metamaterials is achieved，which provide important value for designing the filter,absorber and polarizer.