A press machine comprising: a ram; a shaft; three or more ram driving cams, for the one ram, configured to push down the ram toward a bottom dead center, the plurality of ram driving cams being integrally rotatable with the common shaft; a plurality of working stages arranged in an axial direction of the shaft below the ram and on which press working of a plurality of workpieces is simultaneously performed by lowering of the ram; and a transfer device configured to convey each of the plurality of workpieces on the plurality of working stages to adjacent one of the plurality of working stages each time the ram moves up and down, wherein both end portions of the shaft are rotatably supported by a pair of rotation support portions fitted to the both end portions between which all of the plurality of ram driving cams are disposed, and an intermediate portion of the shaft disposed between the ram driving cams is rotatably supported by a support groove opened downward, the plurality of ram driving cams includes at least two lifting and lowering cams configured to apply both a pushing down force and a pushing up force to the ram, and at least one lowering cam configured to apply only the pushing down force to the ram, in the working stage at an upstream end portion, a workpiece production mechanism configured to punch a blank from a sheet metal and to form the blank into a cylindrical workpiece is provided, in the plurality of working stages on a downstream side of the workpiece production mechanism in a workpiece conveyance direction, the cylindrical workpiece is formed by drawing or ironing, the two ram driving cams on the upstream side in the workpiece conveyance direction are disposed on both sides of the workpiece production mechanism, and the workpiece production mechanism includes a first punch having a cylindrical shape, fixed to the ram, and configured to punch the blank from the sheet metal; a second punch fitted inside the first punch and configured to form the blank into a cylindrical workpiece; and an auxiliary cam provided integrally rotatable with the shaft and configured to lift and lower the second punch at a timing different from a lifting and lowering operation of the ram. a ram; a shaft; three or more ram driving cams, for the one ram, configured to push down the ram toward a bottom dead center, the plurality of ram driving cams being integrally rotatable with the common shaft; a plurality of working stages arranged in an axial direction of the shaft below the ram and on which press working of a plurality of workpieces is simultaneously performed by lowering of the ram; and a transfer device configured to convey each of the plurality of workpieces on the plurality of working stages to adjacent one of the plurality of working stages each time the ram moves up and down, wherein both end portions of the shaft are rotatably supported by a pair of rotation support portions fitted to the both end portions between which all of the plurality of ram driving cams are disposed, and an intermediate portion of the shaft disposed between the ram driving cams is rotatably supported by a support groove opened downward, the plurality of ram driving cams includes at least two lifting and lowering cams configured to apply both a pushing down force and a pushing up force to the ram, and at least one lowering cam configured to apply only the pushing down force to the ram, in the working stage at an upstream end portion, a workpiece production mechanism configured to punch a blank from a sheet metal and to form the blank into a cylindrical workpiece is provided, in the plurality of working stages on a downstream side of the workpiece production mechanism in a workpiece conveyance direction, the cylindrical workpiece is formed by drawing or ironing, the two ram driving cams on the upstream side in the workpiece conveyance direction are disposed on both sides of the workpiece production mechanism, and the workpiece production mechanism includes a first punch having a cylindrical shape, fixed to the ram, and configured to punch the blank from the sheet metal; a second punch fitted inside the first punch and configured to form the blank into a cylindrical workpiece; and an auxiliary cam provided integrally rotatable with the shaft and configured to lift and lower the second punch at a timing different from a lifting and lowering operation of the ram.