In the present study, a 3D numerical simulation of a non-dimensional design of impeller, diffuser and volute design of centrifugal compressor in dimensional form is carried out by using the commercial code of ANSYS R15.0. The fully 3D, Compressible and Steady flow analysis of the fluid (air) flow were solved in CFX solver. A SST k-v turbulent model was used for a simulation of the on-design performance of the single speed centrifugal compressor. By using this specific design results show that De-Haller number, non-dimensional mass flow rate, nondimensional ratio of axial length to exit diameter, divergence angle of Diffuser, area ratio from diffuser outlet to volute outlet obtained in order to 0.7, 0.092, 0.33, 7.29 and 0.65 respectively. Also, found that All Mach number are below 1 so there are no shock formations. The mass flow rate is less than chocking mass flow rate at the throat of impeller and diffuser so there is no choking of flow In order to verify the present numericalsimulations, the model results were validated with the analytical method gives the good agreement but not exactly due to design losses were neglected.