The paper highlights design of a Centrifugal Compressor Stage and a Radial-inflow Turbine Stage for a Supercritical CO2 Recompression Brayton Cycle by Using 3D Inverse Design Method. It suggests that ideal gas assumption is not proper for the design of turbomachinery blades using supercritical CO2 (S- CO2) as working fluid especially near the critical point. Therefore, the inverse design method which has been successfully applied to the ideal gas is extended to applications for the real gas by using a real gas property.