To overcome the higher order nonlinearity and parameters variability in the model of electric dynamic load simulator system using permanent magnet synchronous motor, a fast terminal sliding mode control approach based backstepping scheme is proposed to design a load tracking control. A whole state space model of electric dynamic load simulator system using permanent magnet synchronous motor is developed whose model uncertainties are considered as unknown external disturbances. Based on backstepping method, the model is divided into three subsystems, the fast terminal sliding-mode control law is designed to make the load tracking error converge to zero within a finite time. Through Lyapunov stability analysis, it is shown that the control strategy guarantees the asymptotic stability and a finite time convergence of the closed-loop system. Finally, Experimental results are provided to illustrate the effectiveness of the proposed control scheme. Compared with compensation control with PI and feedforward, the proposed method is more effective to eliminate the extra torque of electric dynamic load simulator. Also, the robustness and accuracy are improved obviously.