Abstract: An integrated optimal method is presented for hybrid control of structures under stochastic excitation. For a given control criterion that specifies the performance requirements, the passive control part of the hybrid control system is designed to minimize the amount of active control power. When the building is modeled as a single-degree-of-freedom system, the optimal passive control part is given in modal subspace; the corresponding physical passive control part is redesigned based on the sensitivity analysis of the structural dynamic behavior. Simulation is performed to evaluate the performance of the integrated optimal method on an 8-story building with hybrid control under white noise excitation. The hybrid control system consists of active tuned mass damper(ATMD)and linear viscous damper. Results show that with the reasonably designed passive control part, the amount of power needed for the active control part is reduced notably.