The main purpose of stabilizing an inertially platform is to keep the sensor payload stable which is mounted on shaky plane. In design of stabilized inertially platform systems three subsystems are used, as follow: sensor payload, gyroscope and control system that they should be simultaneously active and interconnected. Gyroscope determines the position of the plane at any moment and sends its information to the control system. The control system applies input command to the gyroscope actuators by using suitable control law. Suitable criterion for modeling and designing a mechatronic inertially stabilized platform systems are as follow: increasing convergence speed, minimizing error convergence in the limited period of time, and low sensitivity ratio to noises and distirbutions. In this thesis, linear dynamical equations are obtained by using the electrical actuators dynamics (motors). In order to reduce the chattering phenomenon, a finite time law based on the second-order sliding mode control called the Super-twisting sliding algorithm is used. The simulation results show an increase in the convergence speed of the control signals while improving the performance of the closed-loop system by super-twisting sliding mode control algorithm. The accuracy and precision of the designed control law is examined by constructing and implementing a mechatronic system. Keywords: 1-Inertially stabilized platform system 2-Fast finite time 3-sliding mode control 4-Chattering phenomenon