A cutting device for realising a folding cut in a panel made of a rigid/semi-rigid material, comprising: a support shaft having an axis, the support shaft, with the relative axis perpendicular to the panel in which a folding cut is to be realised, being movable towards or away from the panel and movable according to translation directions that are parallel to the panel; a head, mounted on the support shaft; a first blade support mounted on the head; a first cutting blade mounted on the first blade support in such a way as to be inclined by a first angle of inclination (α1) with respect to the axis of the support shaft, characterised in that it comprises: a second blade support arranged on an opposite side of the first blade support with respect to the axis of the support shaft; a second cutting blade mounted on the second blade support in such a way as to be inclined by a second angle of inclination (α2) with respect to the axis of the support shaft and facing towards the first cutting blade; the second blade support being mounted on the head in such a way as to be movable with respect to the head between a first non-operating position, wherein the second cutting blade is moved away from the axis of the support shaft and raised with respect to the first cutting blade and a second operating position wherein the second cutting blade is moved towards the axis of the support shaft and facing the first cutting blade, on an opposite side with respect to the axis of the support shaft, forming, with the first cutting blade, a cut profile having a V shape. a support shaft having an axis, the support shaft, with the relative axis perpendicular to the panel in which a folding cut is to be realised, being movable towards or away from the panel and movable according to translation directions that are parallel to the panel; a head, mounted on the support shaft; a first blade support mounted on the head; a first cutting blade mounted on the first blade support in such a way as to be inclined by a first angle of inclination (α1) with respect to the axis of the support shaft, characterised in that it comprises: a second blade support arranged on an opposite side of the first blade support with respect to the axis of the support shaft; a second cutting blade mounted on the second blade support in such a way as to be inclined by a second angle of inclination (α2) with respect to the axis of the support shaft and facing towards the first cutting blade; the second blade support being mounted on the head in such a way as to be movable with respect to the head between a first non-operating position, wherein the second cutting blade is moved away from the axis of the support shaft and raised with respect to the first cutting blade and a second operating position wherein the second cutting blade is moved towards the axis of the support shaft and facing the first cutting blade, on an opposite side with respect to the axis of the support shaft, forming, with the first cutting blade, a cut profile having a V shape. a second blade support arranged on an opposite side of the first blade support with respect to the axis of the support shaft; a second cutting blade mounted on the second blade support in such a way as to be inclined by a second angle of inclination (α2) with respect to the axis of the support shaft and facing towards the first cutting blade; the second blade support being mounted on the head in such a way as to be movable with respect to the head between a first non-operating position, wherein the second cutting blade is moved away from the axis of the support shaft and raised with respect to the first cutting blade and a second operating position wherein the second cutting blade is moved towards the axis of the support shaft and facing the first cutting blade, on an opposite side with respect to the axis of the support shaft, forming, with the first cutting blade, a cut profile having a V shape.