Abstract: In this paper,an elastoplastic finite element method is used for the analysis of non-axisymmetric deep drawing processing. Thin shell elements are selected in calculation taking the effect of vertical shear into consideration. A method is presented for treating boundary condition that varies with the position and magnitude of loading. Ia the course of deep drawing, some findings are obtained such as flow law of flange metal,workpiece geometry, strain distribution curves,etc. The results by finite element method are in agreement with that of experiment for aluminium sheet.