SRM is a multivariable, nonlinear and strong coupling system because of its special structure and magnetic circuit saturation, the flux linkage, current, torque and rotor angle has a complex nonlinear relationship. As a kind of efficient strategy for dealing with nonlinear system control, the Backstepping Control method is efficient and robust. In this paper, threephase 6/4 SRM is selected to research, according to SRM formula to design the backstrpping control model, using Lyapunov stability theory and proves its stability, proposed SRM current chopping control based on backstepping method, through MATLAB/simulink simulation, the simulation results show that when the motor is started, the current fluctuation in the 80 A up and down, forming a flat top wave, it is proved that the proposed method is reasonable, and provides another idea for the design of the actual SRM current chopping control system.