Abstract: A conveying device for transporting strip portions to be cut by a cutting device from a material strip in transverse direction of the material strip, which strip portions are then laid overlapping in the manner of roof-tiles onto a stacker, comprising:i) a first conveyor disposed adjacent the cutting device which transports the material strip for cutting and the cut strip portions at a first conveying speed V.sub.1 which is substantially equal to the supply speed V.sub.0 of the material strip; andii) a second conveyor preceding the stacker which transports the cut strip portions at a second conveying speed V.sub.2 which is greater than the first conveying speed V.sub.1and to a method for conveying strip portions cut from a material strip in transverse direction of the material strip, which strip portions are laid overlapping in the manner of roof-tiles on a stacker, comprising the steps of:i) conveying with a first conveyor the material strip for cutting and the cut strip portion at a first conveying speed V.