Controlling the seismic behaviour of structures during an earthquake has become a crucial issue for engineers. For this aim, new seismic devices have developed, such as dampers. In this study, passive multiple tuned mass dampers (PMTMDs) and active multiple tuned mass dampers (AMTMDs) are installed on the different floors of a 10-story reinforced concrete building, and fuzzy logic controller (FLC) is employed to optimize the performance of AMTMDs. Structures are evaluated under different earthquake records using both linear and nonlinear analysis, and the maximum lateral displacement, base shear, load-displacement behaviour of each story, settling time and energy absorption of the structure were measured. Moreover, new models are developed to predict the maximum lateral displacement and base shear of the structures and each floor equipped by PMTMDs and AMTMDs. To show the usefulness of the proposed technique, the obtained results are compared with those previous well-known models. The achieved results indicated that optimizing the dampers’ characteristics leads to increasing the efficiency of dampers and better controlling the seismic behaviour of the buildings. Also, FLC is an effective method to optimize the performance of TMDs. Hence, the maximum displacement of the building is reduced by 90% as a result of optimizing the AMTMDs’ characteristics.