Current trends in construction industry demands lighter structures, which are also more flexible and having quite low damping value. The flexibility of the structures usually increases the failure possibilities and change to the structural serviceability. Tuned Sloshing Damper (TSD) is a technique to minimize the vibration of the structure. TSDs are generally rectangular or circular containers filled with a liquid such as water and are installed at the highest level of the structure. In the present study, a mesh-free numerical method so-called Smoothed Particle Hydrodynamic (SPH) is used to predict flow behavior inside TSD. In this study, a TSD equipped with screens subjected to a given base excitation was modeled employing SPH method and the results were compared with the existing experimental data.. Several parameters such as the force acting on the wall by the fluid, wave height, and free surface profile in the container were estimated.Due to high capability of SPH method in simulating the problems with moving interface as well as extremely large deformation, a wide range of excitation amplitudes and frequencies were studied. The excitation amplitude varied between 0.5 to 1000 millimeters which are more than ones used in the previous researches. The response of SDOF and MDOF structures, equipped with TSD is also studied, using a hybrid model containing SPH method and Finite Element Method (FEM).Two MDOF structures with linear behavior were subjected to 3 earthquake excitations. These structures equipped with multi TSDs and their characteristics are investigated for different mass and frequency ratios. The verification of SPH method was carried out for four cases of TSD under harmonic excitation. Fair agreement is seen between SPH predictions and experimental observations, identifying SPH method as a valuable tool for TSD design. Also, the ability of hybrid model in estimating the response of a SDOF structure under a random excitation was proved by validating the modeling results with experimental data. After verification, a TSD was considered with length of 500 mm and different water height, subjected to excitations of 10 and 40 mm amplitude. It is shown when transfer waves occur in the container, TSD is more capable to decrease the response of structure. In this situation, the fluid mass is transferred along the container and the waves with suitable heights are formed. In part of structural analysis, it was concluded that application of TSD can suppress the response of both studied structures, although in some cases, TSD intensifies the response of the structure. The efficiency of TSD is related to wave type which is formed in the container and also inherent features of the structures.