Abstract: The invention concerns a device for up-twisting directly a spinning package having the shape of the cake. According to the invention, the device comprises a vertical spindle driven in rotation at constant or variable speed. Centering and positioning means are provided for the cake on the spindle, said means preferably comprising two cones placed in opposition and fitted at each extremity of the cake. The cones are characterized by the lower cone being secured to the spindle axle and the package being positioned between the two cones by means of a locking element which connects the lower cone to the upper cone. Preferably, the upper cone is associated with a cap flyer which projects beyond the outer edge of the package. The invention applies itself particularly well to up-twisting.