This study presents an aerodynamic design and numerical analysis of a centrifugal compressor in gas turbines for SOFC-gas turbine hybrid system application. Total-to-total pressure ratio of the compressor is 3.6:1 that could be used widely for small and large SOFC-gas turbine systems. The compressor consists of a centrifugal impeller and a wedge diffuser. Conceptual design and aerodynamic design with mean line analysis and quasi-3D analysis are performed, and aerodynamic parameters as well as design variables are discussed from the design results. A numerical analysis based on the Reynolds-averaged Navier-Stokes equation was performed for the flow analysis of the compressor. The results show that the centrifugal compressor designed meets the design target, and the aerodynamic parameters and results of the compressor can be used for the aerodynamic design of centrifugal compressors and the feasibility study of SOFC-gas turbine system design.