It was hard to predict crack and wrinkle which are the main failure modes when drawing for the shallow tapered parts. In this paper crack and wrinkle can be avoided effectively by using the software DYNAFORM in combination with orthogonal design of experiment method. The influence of normal anisotropy coefficient, friction coefficient, drawbead resistance and blank holding force on deep drawing shallow tapered surface was analyzed by numerical simulation. The results show that the minimum-wall-thickness was the main criterion for the drawing process but not the only criterion. Crack and wrinkle can be moderately eliminated finally after optimization of the parameters and following trim process in the drawing for shallow tapered surface.