The traditional approach to deep drawing sheet metal forming process planning was based on numerous practical try-outs and optimizations. In modern times, the value of numerical programs which enable the possibility of forming process simulation and the study of individual parameter influence on workpiece properties is increasing. The advantage of numerical programs is primarily the possibility of internal stress study. In this thesis, a simulation of multi-stage deep drawing of geometrically complex workpiece was made. Different versions of simulation examine the influence of drawing die radius, friction coefficient and blankholder force on product properties. Focus was put on the wrinkling of product wall, which was identified also in the production process. The position of selected points on drawn part was examined in forming limit diagram for different parameter values. The comparison of points position in coordinate system was made and a new criterion was introduced to identify the wall wrinkling. The greatest influence on formation of wrinkles has the increase of drawing die radius. When variating the blankholder force the trend whether sheet metal is leaning towards wrinkling or crack formation is clearly indicated. The reduction of friction coefficient on punch side does not return significant advantages in presented case.