In this study, the structural analysis for the compressor wheel of a high-speed rotating turbocharger is presented, and the failure phenomenon that occurred during the durability test is analytically reproduced. Next, in order to set the optimization conditions, the stress for design shape, fastening force, and press-fit condition were analyzed. As a result, the maximum stress in the failure areas increases as the fastening force increases. Therefore, in order to improve the durability of the compressor wheel, the axial force is reduced while applying the press-fit between the wheel and the shaft. Meanwhile, when the shape of the back surface of the wheel was changed, the stress was additionally reduced by approximately 8.5%.