Abstract: Aiming at the problem that the hypersonic vehicle is easy to lose control due to lateral coupling, the methods of CST parametric modeling based on part combination were established in this paper. Taking the lifting body as an example, the Latin Hypercube design method and the fast analysis method of hypersonic aerodynamic properties were used. The influence of the lifting-body's main shape parameters on the lateral coupling stability parameters was analyzed, such as dynamic directional stability parameter((C_{nβ, dyn}) and lateral control departure parameter(LCDP). The dominant shape parameter had a quadratic nonlinear effect on LCDP. The lateral coupling stability parameters changed significantly with the angle of attack. This paper established an effective analysis method for the study of the lateral coupling stability. It can provide regular suggestions for the overall anti-runaway design of hypersonic lifting-body vehicles.