Abstract. Magneto-Rheological (MR) damper is a new generation of dampers, filled up with a MR fluid. This fluid, when exposed to a magnetic field, will transform regularly from a slipper linear viscous fluid to a semi rigid state. In this article, semi-active control of structures equipped with MR damper is studied. For this purpose, fuzzy control theory is used to determine appropriate command voltage applied to MR damper; and genetic algorithm is used to optimize the fuzzy rules. Then, generated fuzzy rules database will improve fuzzy control system performance relative to experimental fuzzy rules database. Consequently, with applying an appropriate command voltage through an optimized fuzzy control system will decrease vibrations of the structures. The results show that, in the presence of optimized fuzzy rules through genetic algorithm, the amplitude of vibrations is decreased significantly.