A press which has a 20 percent share in machine tools is one of the production facilities. Recently hydraulic press is used to reinforce competitiveness of the manufacturing industry. The press by using metal powder makes products without additional process while conventional processing machine makes products after removing unnecessary parts. In this way, large quantity of products can be produced in a short time. Researches to manufacture products by the press have been proceeding after 1970. In this study, structure and displacement analysis for shape parameters for punch used as the component for hydraulic press was investigated and structural stability was identified based on the results.