A tuned liquid damper (TLD) is widely used to mitigate the vibration of the long-period structure when subjected to wind and earthquake. However, there is difficulty in finding a practically feasible length when used for the short-period structure to tune it. This study proposes a flexible interface between the TLD and structure, preferably by using elastomeric pads. The elastomeric pad's geometric and material properties are chosen so that the whole TLD can be tuned with the fundamental period of the building. The proposed implementation is known as a compliant tuned liquid damper (CTLD). The governing equation of vibration of the CTLD coupled structure system is derived by considering soil-structure interaction (SSI). The optimal parameters of the CTLD are obtained by performing an optimization study. Further, the damper performance is obtained by conducting vibration analysis by subjecting the structure to a set of ground motions. It is observed from the vibration analysis that the proposed implementation significantly suppresses the vibration of the structure. It is also observed that neglecting the SSI effect may dramatically hamper the damper performance in reducing structural vibration.