As the evolution of civilization took place, the shelter became the primary need for civilization. There emerged a demand for the construction of the permanent structure to repel environmental risk and community resilience. The development of the tall structure evolved in the construction of different structural forms to resist the lateral load, mainly interior and exterior structural systems. An outrigger structural system has been considered as one of the finest structural systems in controlling the lateral load by mitigating the response of the structure. In this study, the outrigger structural system is considered with an undamped and damped system to diminish the vibration of the structure against the earthquake load. In a conventional outrigger structure, the outrigger arm is directly connected to the core and the perimeter column. In damped outrigger structure, there is an introduction of the external device called passive dampers which are connected between the outrigger arm and outer column. In this paper, the viscous damper is used as an external passive damper between the outrigger arm and the perimeter column. The simulation results show that with the introduction of the damping device between the outrigger and column, the performance of the outrigger structure has been further enhanced.