In order to realize the differential function of electric vehicle driven by two rear wheel-hub motors, by following the optimal slip ratio of each wheel and equalizing the slip ratio of both drive wheels as target, a electronic differential control strategy based on terminal sliding mode is proposed. First of all, according to the standard μ-λ curve, the optimal slip ratio of the pavement is determined. Then, the deviation between the actual slip ratio and the optimal one is selected as the input variables. Based on the terminal sliding mode variable structure control theory, the electronic differential control strategy is designed to control the two rear wheel drive torque to achieve the function of electronic differential. At the same time, in order to further improve the performance of the system, the genetic algorithm is used to optimize the parameters in the terminal sliding mode algorithm. The simulation results show that the method proposed in this paper can realize the differential function and improve the stability of the electric vehicle.