An adaptive yaw stability control strategy is proposed to meet the multi-objective requirements for yaw maneuverability and lateral stability of Distributed Drive Electric Vehicle (DDEV) under various driving conditions. Firstly, a vehicle dynamics model is established using the piecewise linear fitting technique. Based on this model, the dynamic stability region boundaries related to road adhesion and longitudinal velocity in phase plane is obtained by comprehensively applying the improved double-line method and fuzzy theory. Secondly, the internal parameters of stability control strategy based on Model Predictive Control (MPC) theory are dynamically adjusted by introducing a multi-objective mapping function. This function takes into account the requirements of vehicle lateral stability, yaw maneuverability and actuator energy consumption with reference to the quantification of vehicle stability risk. Finally, the four wheels torque are optimally distributed to minimize the tire load rate through effective set algorithm. Simulation results demonstrate that the proposed control strategy could help DDEV achieve safer and superior stability control effects compared to traditional methods under various conditions.