This paper develops an intelligent optimal stabilization control approach that can be applied to general flight control systems. The self-learning controller is developed based on dual heuristic programming (DHP) in cooperation with the event-triggered scheme to save computational load. Besides, the control inputs can be handled by the combination of an integral cost function and a bounding actor network. A simulation study is carried out based on a nonlinear aerospace system to demonstrate the applicability of the constructed approach. The results show that the proposed event-triggered DHP control approach can maintain comparable performance with the time-based approach and meanwhile substantially decrease the amount of computation. The source code can be found at https://github.com/sunbojason/Event-triggered-DHP.