According to the present invention, an apparatus for manufacturing necking cans processes inlets of cans for which drawing processes are completed, wherein the apparatus comprises: a lower press plate; an upper press plate arranged so as to move linearly in the upward and downward directions relative to the lower press plate; a molding unit including a guide formed on the lower press plate, a plurality of holders arranged on the guide such that the holders can be transferred, and a plurality of molds arranged on the upper press plate; transferring means for transferring the holders along the guide; and driving means for driving the upper press plate. The apparatus of the present invention is advantageous in that cans for which the drawing processes are completed are linearly transferred by a plurality of cylinders and processed at a high speed.