Aiming at the trajectory optimization problem of the dive section of the supersonic vehicle under the comprehensive action of different objective functions, a trajectory optimization design method for multi-optimization objectives of air-breathing supersonic vehicles is proposed. The hp adaptive pseudo-spectrum method is used to optimize the dive trajectory of an air-breathing supersonic vehicle with the maximum flight range and maximum landing velocity under the conditions of process constraints such as overload and dynamic pressure by the weighted summation method. It is proved that this method can solve the comprehensive optimization problem of multiple optimization objectives effectively and provides a new thought for the optimization of related fields.