Production of axisymmetric pieces by technology of sheet metal drawing is widespread nowadays. So the calculation analysis of capacity and forces necessary for deformation is of special interest. The length of cylindrical pieces with axisymmetric deformation is limited by loss of stability and buckling due to the development of side strains. A new technological process is based on making considerable number of folds—18 -?26 with the amplitude of 0.8 -?0.9 mm— before the deformation or immediately after the partial one. That reduces the stiffness of billets and prevents from development of large size buckles. A new technological process is developed for producing a long run of high-quality products.