The SUPERFORM commercial finite element method is used to simulate the backward extrusion forming assuming Coulomb friction for the die and punch to explore effects of the geometrical dimensions of punch, frictional coefficient, aspect ratio of work-piece etc upon the equivalent stress field, equivalent strain field, velocity field and punch force. Furthermore, the forming shape of work-piece can be predicted. In this study, the corresponding relationship between Coulomb frictional coefficient and constant shear frictional factor has been investigated, and the variations of both models have been compared.