A new predictor-corrector methodology is developed for hypersonic vehicles with multi-constraints including typical inequality constraints, terminal states and no-fly zone. The approach makes use of the quasi-equilibrium glide condition (QEGC) for converting typical inequality constraints to the constraints of bank-angle, which is parameterized and found online with predictor-corrector in longitude guidance. Lateral guidance converts no-fly zone constraints to the range of velocity azimuth angle in real time and combines with the strategy of error corridor compensation for forming a new heading error corridor, which is used to avoid the no-fly zone. The algorithm does not rely on a standard trajectory and the guidance commands are calculated in real time, which endows the algorithm with sufficient adaptability. The simulation results show that the algorithm leads the vehicle to avoid the no-fly zone successfully while satisfying the terminal and path constraints, and has high guidance precision and robustness.