A predictive correction guidance algorithm based on real-time correction of attack angle-velocity profile is proposed to address the low computational efficiency of predictive correction guidance for hypersonic gliders.The quasi equilibrium gliding condition is applied to transform the re-entry process constraint into a flight corridor under the altitude velocity profile,and a three-stage flight profile for trajectory planning is designed to meet the terminal state constraint.On the basis of the preset attack angle profile,establishes a mapping relationship between the angle of attack increment and set up the remaining range incrementis,by the longitudinal profile,and calculates the attack angle correction command in reverse to meet the range constraint.Lateral guidance determines the tilt angle symbol through the heading angle deviation corridor to control lateral maneuvers.Numerical simulation experiments have verified that the proposed algorithm can simultaneously satisfy terminal speed,altitude and range constraints,and has short computational time and certain robustness.