In the context of the interconnection and partial independence of the propulsion and electric power systems of more electric aircraft， a more electric aircraft engine energy management algorithm based on Nash optimal distributed model predictive control is proposed. Initially， an architecture for the energy management system of more electric aircraft engines is introduced， and each part of the system is modeled. Subsequently， for the controlled object， a distributed predictive control algorithm considering interactive variables is proposed based on Nash optimal theory. Furthermore， the convergence of this algorithm is analyzed and proven， with convergence conditions provided. Simulation experiments based on component-level models demonstrate that the proposed energy management architecture， along with the Nash equilibria-based optimal distributed predictive control algorithm， exhibits rapid response and superior control performance. When applied to the aircraft engine control， the adjustment time is less than 2 s， and it ensures that the DC bus voltage remains within an appropriate range， effectively managing variable loads.