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We need the great long distance can be reached within short times for the hypersonic vehicle ascent, and it can reach the ideal speed and altitude. The most important part is how to get the optimal trajectory and evade the most kinds of interference factors. It can finish the whole flight mission autonomously. The thesis takes X-33 aircraft model as the research object, and puts forward an ascent closed-loop guidance of hypersonic vehicle based on hp-adaptive pseudo spectrum method. It can correct the flight path in real time and lead the vehicle to the target location. Then t simulate the reliability of this method. The result indicated that this method based on hp-adaptive pseudo spectrum has better accuracy and faster convergence time. This method can provide the direction for real-time of closed-loop guidance.