Abstract: Based on the state-space expression of the dynamic differential equation of the TMD-structure, a new method for the random earthquake response analysis of the TMD-structure is proposed using the pseudo-excitation method and the precise integration method. This method can both get over the complicacies of the complex mode method and the insufficient accuracy of the mode-superposition response spectrum method, which is a fast and accurate method in calculating the random seismic response of the TMD-structure system with stationary and non-stationary excitations. Then, based on the first-passage failure theory, the comparision analysis is made between the structure with/w.o TMD control using the reliability index with the boundary of the maximum story drift angle. The dynamic reliability is taken as the index of performance to evaluate the control effectiveness. An 8-story shear-shaped steel frame structure has been employed herein as a numerical example, the results confirm that the proposed method has validity and efficiency.