The sheet metal forming processes are widely used in the manufacturing of products in several areas, from aviation to household utensils, due to its high productivity, reliability and low cost of production. To achieve these qualities, the design of a product made by sheet metal forming should take into consideration the metallurgical factors of the blank to be used. The blank is usually cold-rolled, which leads to different mechanical properties in the rolled and transverse directions. To take into account this anisotropy, several yield criteria were proposed. To check the influence of the yield criterion in the strain distribution of the final product, this study focused on the implementation of the yield criteria of Hill (1979) and in an academic computer program that modeled the sheet metal forming process by the FInite Element Method. The Hill (1979) criterion was implemented and had good results, in accordance with the literature. The criterion was formulated for a FInite Element Method analysis, though not implemented. By using Hill's non-quadratic yield criterion it was possible to analyze the strain distribution for various yield surfaces, changing only the value of one parameter of the yield function.Keywords: FInite element method, non-quadratic yield criterion, sheet metal forming, deep-drawing.