The invention relates to finite time tracks of aircrafts, in particular to a method for rapidly generating a finite time track of a hypersonic aircraft. The method aims to solve the problems that the process of deriving an optimal solution according to a traditional method is complex, nonlinear programming problems with complex constraints cannot be effectively solved, the rapidity and real-time performance of track optimization cannot be met, and complex reentry environmental disturbance and environmental uncertainty cannot be handled. The method includes the steps that 1, the motion model of the hypersonic aircraft is obtained; 2, the nonlinear programming problem is formed; 3, the nonlinear programming problem is described to be a quadric form convex problem; 4, a high-speed resolver is generated; 5, the quadric form convex optimization problem is solved, and the solution is analyzed. The method is applied to the field of the finite time tracks of the aircrafts.