Structural safety of building particularly that are intended for exposure to strong earthquake loads are designed and equipped with high technologies of control to ensure as possible as its protection against this brutal load.One of these technologies used in the protection of structures is the semi-active control using a Magneto Rheological Damper device.But this device need an adequate controller with a robust algorithm of current or tension adjustment to operate which is further discussed in the following of this paper.In this study,a neural network controller is proposed to control the MR damper to eliminate vibrations of 3-story scaled structure exposed to Tōhoku 2011 and Boumerdès 2003 earthquakes.The proposed controller is derived from a linear quadratic controller designed to control an MR damper installed in the first floor of the structure.Equipped with a feedback law the proposed control is coupled to a clipped optimal algorithm to adapt the current tension required to the MR damper adjustment.To evaluate the performance control of the proposed design controller,two numerical simulations of the controlled structure and uncontrolled structure are illustrated and compared.