Abstract: Taking a practical super high-rise building as a case study, the improved viscous damping outrigger scheme which contains a lever mechanism installed at the end of the truss was proposed to amplify the deformation of the dampers in conventional viscous damping outrigger in earthquakes. The comparative analysis of damping effect of the two different damping schemes was carried out, and the main parameters (damper parameters and leverage ratio) affecting the energy dissipation efficiency of the newly-proposed viscous damping outrigger scheme were studied. The results indicated that the newly-proposed viscous damping outrigger scheme could amplify the deformation and velocity of dampers effectively, and the amplification factor was approximately equal to the leverage ratio of the T-shaped rigid arm; as the lever ratio increased, the optimal damping coefficient of the newly-proposed viscously damped outrigger decreased gradually. The product of the optimal damping coefficient and the leverage ratio in the newly-proposed viscous damping outrigger was approximately equal to the optimal damping coefficient of the conventional viscously damped outrigger.