Abstract: This research is on the design optimization and performance control of tuned mass dampers (TMDs) and active tuned mass dampers (ATMDs). H∞ control synthesis algorithm is used to design the multi-distributed TMDs and ATMDs, and through the estimation of control efficiency, an optimal control scheme is obtained. Taking the 3rd Nanjing Bridge over Yangtze River as an example, the analytical model is established here. Considering the contribution of self-excited force to aerodynamic damping and stiffness, the parameters of the multi-distributed TMDs and ATMDs are optimized at the same time and the controller is designed. Controlled performance for buffeting response of the bridge is numerically analyzed. Results show that both the multi-distributed TMDs and ATMDs have limitation in practice and can not achieve good performance for the control of displacement response and acceleration response of the cable-stayed bridge under construction at the same time. An effective scheme of hybrid system combining TMDs with ATMDs that are tuned to different modes shows good efficiency for the wind-induced vibration control of the cable-stayed bridge.