In the present paper, a 3-D rigid visco-plastic finite-element method coupled with void damage was developed for analyzing the fine-blanking process with an ineremental implicit algorithm. Based on the Gurwon Tvergaard-Needleman plastic peoteial equation and the orthogonal rules, the effect of of void volume fraction was introduced into the material constitultive law to document the ductile damage of the deformed material. A principle of variation of rigid visco-plastic material was presented considering both the shear work and the work caused by the cahange of vloume. This proposed principle revals both the effects of equivalent stress and bydrostatic pressure. The related FEM equations coupled with void damage based on this principle of ductile fracture in the blanking process. Based on the obtained system. the fine blanking process was simulated and the onset of the micro-crack of the sheet wais predicted. Furthermore, the influence of the studied work-piece shape on the deformation process was also discussed.