A cutting press equipped for handling and treating or working plate-shaped workpieces or articles, especially of sheet metal, includes at least one cutting tool which is driven from a main drive of the machine through transmission components and its own driving arrangement. An additional severing arrangement is mounted on the same machine frame and is equipped with its own driving arrangement, the transmission members being selectively coupleable with the cutting tool and with the severing arrangement. The machine further includes a coordinate table for advancing the respective workpiece. An entraining arrangement is provided at the part of the machine frame which is associated with the severing arrangement and at the region of the workpiece which is free from the severing tools. The entraining arrangement is arranged above a support surface for the workpiece which extends in the same plane as the support surface of the coordinate table and is lowerable toward the workpiece. The entraining arrangement is operative for transporting the respective workpiece from the severing arrangement to a following conveying arrangement.