Device for cutting elongate natural products provided with roots, particularly leeks, wherein each natural product has a relatively soft root portion and a relatively hard product portion provided on the root portion, the device comprising: - a feed conveyor configured to transport the natural products in a longitudinal direction (P L), wherein the feed conveyor is further configured to hold the natural products with their longitudinal direction in a substantially transverse direction, substantially transversely of the longitudinal direction, during transport; - a position detector (40;60) disposed close to the feed conveyor and configured to detect the respective transverse positions of the outer ends of the relatively hard product portions of the passing natural products; - a cutting position determining unit connected to the position detector for determining the different desired cutting positions of the natural products subject to the detected transverse positions of the outer ends of the natural products; - a cutting unit (50;70) disposed close to the feed conveyor and connected to the cutting position determining unit, and configured to cut the natural products transported therealong, wherein the cutting unit comprises: - a cutting element for cutting one or more natural products; - a displacing mechanism (52;71) on which the cutting element is arranged, wherein the displacing mechanism is configured to displace the cutting element in transverse direction to the respective cutting position for cutting a passing natural product; characterized in that the device comprises: - a second displacing mechanism (41;61) provided with a support, wherein the second displacing mechanism is configured to displace the support in transverse direction toward or away from the feed conveyor; - pins mounted or formed on the support and extending toward the position of the natural products, wherein the pins are formed to penetrate through the relatively soft root portion but to be stopped by the relatively hard product portion; - a sensor configured to detect the position of the support, wherein the sensor is configured to detect the position of the support when the support has been displaced as far as possible in the direction of the natural product, so that the outer end of one or more of the pins touches the outer end of the relatively hard product portion. - a feed conveyor configured to transport the natural products in a longitudinal direction (P L), wherein the feed conveyor is further configured to hold the natural products with their longitudinal direction in a substantially transverse direction, substantially transversely of the longitudinal direction, during transport; - a position detector (40;60) disposed close to the feed conveyor and configured to detect the respective transverse positions of the outer ends of the relatively hard product portions of the passing natural products; - a cutting position determining unit connected to the position detector for determining the different desired cutting positions of the natural products subject to the detected transverse positions of the outer ends of the natural products; - a cutting unit (50;70) disposed close to the feed conveyor and connected to the cutting position determining unit, and configured to cut the natural products transported therealong, wherein the cutting unit comprises: - a cutting element for cutting one or more natural products; - a displacing mechanism (52;71) on which the cutting element is arranged, - a cutting element for cutting one or more natural products; - a displacing mechanism (52;71) on which the cutting element is arranged, - a second displacing mechanism (41;61) provided with a support, wherein the second displacing mechanism is configured to displace the support in transverse direction toward or away from the feed conveyor; - pins mounted or formed on the support and extending toward the position of the natural products, wherein the pins are formed to penetrate through the relatively soft root portion but to be stopped by the relatively hard product portion; - a sensor configured to detect the position of the support, wherein the sensor is configured to detect the position of the support when the support has been displaced as far as possible in the direction of the natural product, so that the outer end of one or more of the pins touches the outer end of the relatively hard product portion.