A transfer press machine comprising a frame supporting a ram and a bolster, a plurality of punches, and a workpiece taking-out apparatus configured to transfer a cylindrical workpiece having been pressed by the plurality of punches in a first horizontal direction in which the plurality of punches are arranged, and to take out the cylindrical workpiece to an outside of the frame, the workpiece taking-out apparatus comprising: a fixed base fixed to the frame and projecting from an outer surface of the frame; a pair of first movable bases supported by the fixed base so as to be shiftable in the first horizontal direction, the first movable bases being juxtaposed to each other in a second horizontal direction perpendicular to the first horizontal direction; a pair of second movable bases supported by the pair of first movable bases so as to be shiftable in the second horizontal direction; a pair of arm parts extending from the pair of second movable bases to the bolster side in the first horizontal direction; a ball screw mechanism disposed at a higher level than the first movable bases and the second movable bases, supported by the fixed base, and including a ball screw extending in the first horizontal direction and a ball nut screwing with the ball screw; a shiftable-coupling member coupling the pair of first movable bases and the ball nut to each other so as to be integrally shiftable; a forward-rearward driving part configured to rotate the ball screw so that the pair of arm parts shifts between a forward position where the arm parts are positioned on both sides of the cylindrical workpiece in the frame and a rearward position where the arm parts are spaced apart from the frame in the first horizontal direction; a pair of open-close driving parts coupled to the pair of second movable bases and configured to shift the pair of arm parts between a closed position where the arm parts clamp the cylindrical workpiece and an open position where the arm parts are spaced apart from the cylindrical workpiece; a conveyor part extending in the first horizontal direction or a direction inclined upward or downward relative to the first horizontal direction, and configured to receive the cylindrical workpiece from the pair of arm parts and convey the cylindrical workpiece to a side away from the bolster beneath the shiftable-coupling member; and a workpiece holding apparatus including a workpiece holding part configured to press the cylindrical workpiece clamped by the pair of arm parts in the rearward position against the conveyor part from above, and to shift upward upon the pair of arm parts leaving the cylindrical workpiece. a fixed base fixed to the frame and projecting from an outer surface of the frame; a pair of first movable bases supported by the fixed base so as to be shiftable in the first horizontal direction, the first movable bases being juxtaposed to each other in a second horizontal direction perpendicular to the first horizontal direction; a pair of second movable bases supported by the pair of first movable bases so as to be shiftable in the second horizontal direction; a pair of arm parts extending from the pair of second movable bases to the bolster side in the first horizontal direction; a ball screw mechanism disposed at a higher level than the first movable bases and the second movable bases, supported by the fixed base, and including a ball screw extending in the first horizontal direction and a ball nut screwing with the ball screw; a shiftable-coupling member coupling the pair of first movable bases and the ball nut to each other so as to be integrally shiftable; a forward-rearward driving part configured to rotate the ball screw so that the pair of arm parts shifts between a forward position where the arm parts are positioned on both sides of the cylindrical workpiece in the frame and a rearward position where the arm parts are spaced apart from the frame in the first horizontal direction; a pair of open-close driving parts coupled to the pair of second movable bases and configured to shift the pair of arm parts between a closed position where the arm parts clamp the cylindrical workpiece and an open position where the arm parts are spaced apart from the cylindrical workpiece; a conveyor part extending in the first horizontal direction or a direction inclined upward or downward relative to the first horizontal direction, and configured to receive the cylindrical workpiece from the pair of arm parts and convey the cylindrical workpiece to a side away from the bolster beneath the shiftable-coupling member; and a workpiece holding apparatus including a workpiece holding part configured to press the cylindrical workpiece clamped by the pair of arm parts in the rearward position against the conveyor part from above, and to shift upward upon the pair of arm parts leaving the cylindrical workpiece.