Abstract Abstract: During the design process of vital structural components it is necessary to consider all engineering design aspects including the initial geometry, material selection, nominal loads, global and detailed stress-strain calculations. The objective of the present article is to outline the process of such multiparametric geometry optimization of a press for fine sheet-metal punching by using FEM analysis. An iterative process of the geometry optimization is illustrated on an example of the press exposed to high static loads under strict allowable deflection requirements. The initial press geometry is modified based on the obtained FEM simulation results. The static calculations are then performed repeatedly on the modified press models until the obtained stress and deflection values fell within the permissible limits. The press model adopted in the described process of iterative geometry modifications represents an input for the calculations under dynamic loads.