Terahertz(THz) filters with mirrored asymmetric metamaterial structure have been studied based on the micro-nanofabrication technology. According to the finite difference time domain theory, the electric field and current density distribution of the microstructure are simulated and analyzed. The mechanisms of THz electromagnetic resonance of THz filter and physical mechanism of THz radiation loss are also described. The asymmetric split ring of micro-structures is designed and optimized in order to reduce the radiation loss and improve the Q value of the quality factor. The performance of the THz filter is characterized in the THz Time Domain Spectroscopic(THz-TDS) system. It is found that the quality factor of the filters with mirrored asymmetric metamaterial reaches up to 12.5 at the frequency of 0.923 THz. At the same time, the dependence of the direction of THz electric-field E on the performance of THz filter is studied as well. The study of the THz filter provides an important experimental basis for the development of THz devices, such as electrically tunable THz modulator.