A workpiece conveying apparatus for a pressing machine, comprising an arm unit (10A, 10B) including: a first arm supported at a proximal end side thereof through intermediation of a first joint so as to be freely rotatable within a substantially horizontal plane; a second arm supported at a proximal end side thereof on a distal end side of the first arm through intermediation of a second joint so as to be freely rotatable within the substantially horizontal plane; a workpiece holding portion, which is provided on a distal end side of the second arm, and is configured to hold a workpiece; a first arm drive mechanism configured to drive the first arm to rotate about the first joint; and a second arm drive mechanism configured to drive the second arm to rotate about the second joint with respect to the first arm, wherein one of a pipe and a wiring arranged on an outer side of the second joint is supported at one side thereof by the first arm through intermediation of a first support portion, and is supported at another side thereof by the second arm through intermediation of a second support portion, characterized in that, in a case in which the one of the pipe and the wiring is extended from at least one of the first support portion and the second support portion to another of the first support portion and the second support portion, in a folded state in which the first arm and the second arm are folded so as to overlap each other, the one of the pipe and the wiring is arranged so as to intersect a vertical plane, which includes a rotary shaft of the second joint and is orthogonal to an extending direction of a center line of the first arm in a longitudinal direction in the folded state, and wherein the one of the pipe and the wiring is arranged so that the one of the pipe and the wiring is deformed into an arc shape as viewed in a direction along the rotary shaft of the second joint when the first arm and the second arm are extended in a workpiece conveyance direction. a first arm supported at a proximal end side thereof through intermediation of a first joint so as to be freely rotatable within a substantially horizontal plane; a second arm supported at a proximal end side thereof on a distal end side of the first arm through intermediation of a second joint so as to be freely rotatable within the substantially horizontal plane; a workpiece holding portion, which is provided on a distal end side of the second arm, and is configured to hold a workpiece; a first arm drive mechanism configured to drive the first arm to rotate about the first joint; and a second arm drive mechanism configured to drive the second arm to rotate about the second joint with respect to the first arm, wherein one of a pipe and a wiring arranged on an outer side of the second joint is supported at one side thereof by the first arm through intermediation of a first support portion, and is supported at another side thereof by the second arm through intermediation of a second support portion, characterized in that, in a case in which the one of the pipe and the wiring is extended from at least one of the first support portion and the second support portion to another of the first support portion and the second support portion, in a folded state in which the first arm and the second arm are folded so as to overlap each other, the one of the pipe and the wiring is arranged so as to intersect a vertical plane, which includes a rotary shaft of the second joint and is orthogonal to an extending direction of a center line of the first arm in a longitudinal direction in the folded state, and wherein the one of the pipe and the wiring is arranged so that the one of the pipe and the wiring is deformed into an arc shape as viewed in a direction along the rotary shaft of the second joint when the first arm and the second arm are extended in a workpiece conveyance direction.