To improve the acceleration performance and stability of the four-wheel independent drive (4WID) electric vehicle on low-adhesion road, a fuzzy control that doesn’t depend on accurate vehicle models is proposed. Taking the driving torque of one side wheel as a reference the slip rate is controlled by controlling the torque errors between the left and right wheels to a certain range. Carsim-Simulink co-simulation is used to analyze the acceleration stability of 4WID electric vehicle on low-adhesion road and μ-split road. The simulation results show that the wheel slip rate can be controlled within a reasonable range through proposed method, and the stability and safety of the vehicle can be effectively improved on the basis of ensuring the power performance of the vehicle.