A crucial factor in building design process is damping. With the intention of maximizing stability of an earthquake-resistant structure, dampers are important. There are various different types of dampers in use, including tuned mass dampers, rubber isolators, magnetic dampers, and friction dampers. Rubber dampers have been shown to be useful in decreasing seismic forces and enhancing structural stability, although their application in India is still somewhat limited. A number of variables, including exorbitant expenses, a lack of knowledge, and a dearth of field research and development. Therefore, in the current study, an asymmetric G + 40 story RCC building is subjected to the following conditions: Medium soil with soil type II and seismic zone III. To investigate response of the structure, a Rubber Isolator Damper is utilized. First, the construction was identified as the General Building when it was assessed without a damper. Later, Rubber isolator damper will be used for analysis of structure. Various dynamics variables something like seismic displacement, shear force at base, storey drift and modal mass participations were evaluated.