The tall building is always prone to environmental loads like wind pressure and earthquake. As height of the structure increases, the effect of wind pressure also increases based on the region where the building is placed. There are many structural forms developed to overcome the lateral loads, one of the system is called outrigger structure. Conventional outrigger structural system consists of a core in its interior and outrigger arms that connect the core and perimeter column, which resists the overturning moment of the core and reduces the drift due to the reduction of bending moment in the structure. The problem identified in this research is to develop damped outrigger structure which further enhances the outrigger structural performance by increasing stiffness and damping. With the addition of external damping devices to outrigger structure, response control can be further increased. In this study, mathematical model of outrigger structure is simulated in MATLAB by placing viscous damper as external damping device. The response of the structure is determined against the wind load, which shows the mitigation of the vibration response of outrigger structure which is a multi-approach method. The simulation model of outrigger structural parameters is continuous process owing to its importance in improvement of structural response, and the outcome of this research can immensely contribute to the ‘body of knowledge’ in this area.