In this paper, a Taguchi method based digital control scheme for the galvanometer laser scanner system is developed to overcome the system's inherent shortcomings. First and foremost, a second-order model of the galvanometer is derived using the step response approach. Subsequently, due to the capability of online calculation and good control performance, the Model Predictive Control (MPC) approach is employed to deal with the position control problems of the system. In the proposed approach, the optimal parameters of the MPC are determined using the Taguchi method. Furthermore, performance comparison among the proposed Taguchi method-based MPC, the GA-based PID controller and the Pseudo Derivative Feedback (PDF) with Feedforward controller modified in this paper is also performed. Finally, several experiments are conducted to verify the feasibility of the proposed approach. Experimental results demonstrate that the proposed approach can effectively reduce the settling time, maximum overshoot, and steady-state error of the galvanometer system under different amplitudes of step input commands.