Considering the influence of battery aging in the design of energy management strategy of plug?in hybrid electric vehicles (PHEVs) is of great significance for improving the vehicle economy. An energy management strategy is proposed for parallel PHEVs equipped with automatic mechanical transmission while considering triple coupled factors of electric?thermal?depth?of?discharge which influence battery aging, and model predictive control (MPC) is used to achieve real?time co?optimization of gear?shifting and torque distribution. Firstly, the optimal depth of battery discharge over the entire trip is identified based on historical speed profiles and battery aging dynamics. Secondly, with the optimal depth?of?discharge, the battery discharge planning and reference SOC in the preview horizon are established where the Pontryagin minimum principle (PMP) is leveraged to solve the co?optimization problem. Then, it is compared with the MPC without considering battery aging, one?dimensional MPC (1D?MPC) where a scheduled gear?shifting policy is used, and MPC with the dynamic programming based optimization method. The results show that the following :(1) Optimizing the gear?shifting for parallel PHEVs can effectively reduce the battery aging cost;(2) Compared with the one?dimensional model predictive control strategy (1D?MPC) with regular shift strategy, the two?dimensional model predictive control strategy (2D?MPC) with simultaneous optimization of gear selection and torque distribution is conducive to reduce the battery core temperature and aging cost;(3) Compared with the rule?based CD?CS strategy, the proposed 2D?MPC method can reduce the total cost (the sum of energy consumption cost and battery aging cost) by 28.2 %.