Based on the principle of voltage space vector analysis, a kind of double hysteresis current SVPWM control method for a mixed single-phase three-level rectifier is proposed. This paper analyzes the working mode of a single-phase three-level rectifier, puts forward a double hysteresis comparator to control the current inner ring. Four state values will be output from the comparator according to the value of error current. Combined with the area of the command voltage vector which is calculated by the electromotive force and the forcasted current from discretizing, the best output vector of switch is chosen to make the current error be within the scope of the system requirements. Through MATLAB simulation, this paper compares three kinds of control methods, named the tracking voltage vector and two-state hysteresis, four-state double hysteresis SVPWM current. The superiority of the four-state double loop hysteresis controller is verified by the results. The reliability of double hysteresis current control algorithm is testified by the experiment of low power prototype.