This paper is concerned with optimization of a motor torque to drive Parking Sign system. It needs to minimize powers for stand alone operation and requires the optimized parameters in order to move the plates in the minimum torque. The operation can be represented as a complicated non-linear equation which is difficult to solve by general optimization techniques. In this paper, the dynamic equations of the system are derived, also the suitable Genetic Algorithm is designed to solve the equations. Computer simulation shows the availability of this method.