The optimization of 2D expansion lines and key parameters of three-dimensional configurations was carried out under simulated conditions of Mach 6.5 and a flight altitude of 25 km for an integrated configuration of the afterbody/nozzle of a hypersonic vehicle. First, the cubic B-spline method was applied to parameterize the expansion lines of the upper expansion ramp. The optimization procedure was established based on computational fluid dynamics and the sequential quadratic programming method. The local mesh reconstruction technique was applied to improve computational efficiency. A three-dimensional integrated configuration afterbody/nozzle was designed based on the two-dimensional optimized expansion lines. The influence rules incorporated certain key design parameters affecting the lift and thrust performance of the configuration, such as the ratio of the lengths of the lower expansion ramp to the afterbody (l/L), the dip angle of the lower expansion ramp ω, and the ratio of exit height to the length of afterbody (H/L). Under these conditions, we found that the integrated configuration has optimal performance when l/L=1/6, H/L=0.35 and =10°. We also showed that the presence of a side-board promotes lift and thrust performance, and effectively prevents the leakage of high pressure gas. For scramjet-powered hypersonic vehicles, an integrated configuration body/engine design is usually adopted. The wave rider or lift body configuration is used as the fore body. Therefore the fore body of hypersonic vehicle provides most of the lift and also forms the pre-compression face of the engine inlet. The afterbody of the vehicle can be considered as an extension to the nozzle, providing lift and thrust. With this design, the bottom surface of the airframe is fully integrated with the propulsion system, and therefore drag force can be reduced. As a result, the afterbody of vehicle is designed as an integrated structure with the engine nozzle. The afterbody is the major thrust producing component, providing more than 50% of the total engine thrust [1,2].The single expansion ramp nozzle is a typical propulsion system design. For a given Mach number, attack angle and dynamic pressure, the airflow expansion and the aerodynamic performance of afterbody mainly depend on its geometry, especially the upper expansion line. Early methods of nozzle design adopted the characteristic and the variational method to achieve the maximum lift-drag ratio or minimum length of nozzle based on inviscid flow theory (typically Rao's method) [3,4]. The flow phenomena in the entry (i.e. the engine and afterbody exhausts) of nozzle are very complex, so nozzle designs based on inviscid flow theory are generally only regarded as preliminary [4]. In recent years, with the development of computational fluid dynamics (CFD), high credibility numerical simulation has become the main analytical tool for performance evaluation [5][6][7], design [8,9] and particularly optimization [2,[10][11][12][13][14][15]