Abstract: The random wind-induced response and the equivalent static wind action of tall buildings with five sorts of passive dampers are studied. According to the unique non-classical dynamic equations established already by expanding the main structure with respect to the first mode, the complex model method is used to disconnect the equations, the universal method that disassembles the structure into a series of equivalent single degree of freedom systems is established, the precise solution of random wind-induce response and the equivalent static wind action basis on Davenport spectrum of the tall building structure with five sorts of passive dampers are obtained.