In this paper, a pressure-based coupled computational fluid dynamics algorithm for numerical analysis of all mach number region flow is developed. For this purpose, an enhanced pressure based coupled algorithm was developed through the pressure-velocity coupled algorithm and the pressure-enthalpy coupled algorithm were combined. In additional, the Kurganov-Tadmor flux splitting scheme, which is mainly used in density-based solvers, was applied to a developed pressure-based coupled solver. To confirm the analytical ability of developed solver, the variety of mach number flow problems were performed using the developed solver. It was confirmed that the developed solver had the similar analytical ability with that of the other numerical codes through the analysis of the shock tube problems. In order to verify the analytical ability for the variety mach number flow region of the developed solver, 2D bump and nozzle problems and 3D missile problem were analyzed and compared with results of experiments and other numerical analysis codes. It is confirmed that the analytical ability of developed solver in the all speed flow region is somewhat improved than the commercial analysis package and is similar to the density based in-house CFD code.