Method for processing a carcass part of slaughtered poultry, which carcass part comprises at least part of a rib cage, part of the meat which is naturally present on said rib cage, part of at least one of the wings and part of the back skin, the breast skin and the wing skin, the carcass having an interior which method comprises the following steps: - applying and fixing the carcass part to a product carrier, which product carrier is moveable along a path in a conveying direction and is preferably pivotable in a plurality of planes with respect to this path, and which product carrier is preferably adapted to engage the interior of the carcass part, - positioning the carcass part with respect to a first processing unit, - making a first incision in the skin in the region of the connection between body and wing, on the breast side, in such a manner that the first incision on any carcass part is located at virtually the same position on the carcass part, irrespective of the size of the product, - removing the breast skin by moving the carcass part past at least one pair of interacting skinning rolls, in such a manner that the skinning rolls grip the breast skin and pull it off the carcass part, the breast skin tearing off at the first incision which was made in the skin, with the result that the back skin and the wing skin remain connected to the carcass part, - positioning the carcass part with respect to a second processing unit, with the carcass part located in a first orientation with respect to the conveying direction, - cutting into the skin in the region of the connection between body and wing, on the side of the back, with the carcass part, during the cutting operation, being moved from the first orientation into a second orientation with respect to the conveying direction, so that a curved second incision is formed, - removing the back skin by moving the carcass part past at least one pair of interacting skinning rolls, in such a manner that the skinning rolls grip the back skin and pull it off the carcass part, the back skin tearing off at the second incision between body and wing, with the result that a predetermined part of the wing skin remains connected to the carcass part. - applying and fixing the carcass part to a product carrier, which product carrier is moveable along a path in a conveying direction and is preferably pivotable in a plurality of planes with respect to this path, and which product carrier is preferably adapted to engage the interior of the carcass part, - positioning the carcass part with respect to a first processing unit, - making a first incision in the skin in the region of the connection between body and wing, on the breast side, in such a manner that the first incision on any carcass part is located at virtually the same position on the carcass part, irrespective of the size of the product, - removing the breast skin by moving the carcass part past at least one pair of interacting skinning rolls, in such a manner that the skinning rolls grip the breast skin and pull it off the carcass part, the breast skin tearing off at the first incision which was made in the skin, with the result that the back skin and the wing skin remain connected to the carcass part, - positioning the carcass part with respect to a second processing unit, with the carcass part located in a first orientation with respect to the conveying direction, - cutting into the skin in the region of the connection between body and wing, on the side of the back, with the carcass part, during the cutting operation, being moved from the first orientation into a second orientation with respect to the conveying direction, so that a curved second incision is formed, - removing the back skin by moving the carcass part past at least one pair of interacting skinning rolls, in such a manner that the skinning rolls grip the back skin and pull it off the carcass part, the back skin tearing off at the second incision between body and wing, with the result that a predetermined part of the wing skin remains connected to the carcass part.