Aiming at the reentry guidance of hypersonic gliding vehicle considering multi-constraints, the research proposes an improved predictor-corrector guidance law, which is based on model predictive static programming(MPSP). The initial value generator was founded by using the rapid generation of three dimensional trajectory, which solves the MPSP problem of providing guess history difficultly and refreshing nominal trajectory for the initial perturbation. The kinematic model of the hypersonic gliding vehicle was built based on energy, and the predictor-corrector guidance based on MPSP was deduced. The influence factors from the initial decent phase to the gliding phase were investigated. The digital simulation was carried out in gliding phase considering perturbations of the initial values and aerodynamic parameters. The results turn out that the improved MPSP predictor corrector method have the advantages of precise initial guess values, computational efficiency and strong robustness to the perturbations.