PURPOSE: To enhance efficiency in convey-out work of a cut material and protect the cut material from damage in the case of simultaneously cutting plural pieces of stacked materials and conveying them out, by arranging the cut materials in a laminated state and stacking them in specified steps for convey- out.

CONSTITUTION: Materials conveyed in a laminated state are cut by a specified length by a cutting machine 3 while keeping the laminated state, and obtained cut materials W' are arranged to be in the same shape as the original ones and conveyed out from a convey-out device 5. This convey-out device 5 is provided with a conveying machine 7, and a slide conveyor 9 which, at a cut material receiving position P of the conveying machine 7, freely advances and retreats between the position P and a retreating position B in the conveying direction of the cut material W'. An arranging device 13 which, in a state where the slide conveyor 9 is at the receiving position P and stopped, pushes the cut materials W' on the conveyor 9 to the bottom in order while keeping a laminated state by means of guide rollers 15 provided on both sides of the guide-in direction is provided.