A conveyor conveys a continuous stretchable web. The conveyor includes a press mechanism configured to press the web in at least a center region C in a cross direction perpendicular to a conveyance direction of the web, or at least side edge regions S located in positions shifted from the center region toward both side edges of the web in the cross direction. The press mechanism is provided in a position shifted from a conveyance plane R of the web when viewed along a surface of the web in the cross direction.