The workpiece conveying apparatus for a pressing machine includes: a rotary base rotatable about a substantially perpendicular axis; a first arm pivotally supported by the rotary base so as to be rockable within a substantially perpendicular plane; a coupler pivotally supported on a distal end side of the first arm so as to be rockable; a second arm having a proximal end side that is mounted to the coupler so as to be rockable; a cross bar mounted to a distal end side of the second arm so as to be rockable within a plane substantially parallel to a rocking plane of the second arm; and a workpiece holding device mounted to the cross bar.