An inverse design numerical method was introduced to investigate the design technique of new bipyramid bump compression surface.The axisymmetric Euler equations with the discontinuities boundary condition were solved on dynamic mesh using computational domain partition method which calculated the second shock wave in order to avoid solving the shock location error by shock capture method.On this basis,a bipyramid Bump example combined with the flat plane was designed by the streamline tracking method introduced to generate Bump compression surface,and it was simulated by computational fluid dynamics in viscosity.The results show that:(1) the model maintains a strong boundary layer swept capacity in the flow field structure;(2) at Mach number 2.0 condition,the method adopted here can make the total pressure recovery coefficient of the Bump compression system increases 0.04 compared to the traditional Bump compression surface based on cone waverider design,also lays the foundation for improving the Bump inlet performance.