A system for packing tissue paper products in a wrapping sheet; wherein the packing system includes: - a packing machine comprising: a positioning device, adapted to position a wrapping sheet along an insertion path, through which groups of products to be packed are moved toward a feeding and packing path; a feeder adapted to insert the groups of tissue paper products in the insertion path up to the feeding and packing path; a conveyor adapted to move the tissue paper products along the feeding and packing path through a folding unit arranged along the feeding and packing path; the folding unit being adapted to wrap the wrapping sheet around the group of tissue paper products; a closing system adapted to close the wrapping sheet around the tissue paper products and to form a pack of tissue paper products, the closing system being arranged along the feeding and packing path downstream of the folding unit; - a first vision system for acquiring images of at least one portion of the pack of tissue paper products wrapped in the wrapping sheet, the first vision system comprising at least one video camera - a central control unit, connected to the cameras (51.1, 51.2, 51.3, 51.4, 51.5) of each vision system and programmed to detect at least one defect in the pack, based on the images taken by each vision system, and: ➢ to intervene automatically on an operation parameter of the packing machine to adjust the operation of the packing machine so as to reduce or to eliminate the defect; or ➢ to signal, through a human-machine interface, any anomaly, suggesting a corrective action. - a packing machine comprising: a positioning device, adapted to position a wrapping sheet along an insertion path, through which groups of products to be packed are moved toward a feeding and packing path; a feeder adapted to insert the groups of tissue paper products in the insertion path up to the feeding and packing path; a conveyor adapted to move the tissue paper products along the feeding and packing path through a folding unit arranged along the feeding and packing path; the folding unit being adapted to wrap the wrapping sheet around the group of tissue paper products; a closing system adapted to close the wrapping sheet around the tissue paper products and to form a pack of tissue paper products, the closing system being arranged along the feeding and packing path downstream of the folding unit; a positioning device, adapted to position a wrapping sheet along an insertion path, through which groups of products to be packed are moved toward a feeding and packing path; a feeder adapted to insert the groups of tissue paper products in the insertion path up to the feeding and packing path; a conveyor adapted to move the tissue paper products along the feeding and packing path through a folding unit arranged along the feeding and packing path; the folding unit being adapted to wrap the wrapping sheet around the group of tissue paper products; a closing system adapted to close the wrapping sheet around the tissue paper products and to form a pack of tissue paper products, the closing system being arranged along the feeding and packing path downstream of the folding unit; - a first vision system for acquiring images of at least one portion of the pack of tissue paper products wrapped in the wrapping sheet, the first vision system comprising at least one video camera - a central control unit, connected to the cameras (51.1, 51.2, 51.3, 51.4, 51.5) of each vision system and programmed to detect at least one defect in the pack, based on the images taken by each vision system, and: ➢ to intervene automatically on an operation parameter of the packing machine to adjust the operation of the packing machine so as to reduce or to eliminate the defect; or ➢ to signal, through a human-machine interface, any anomaly, suggesting a corrective action. ➢ to intervene automatically on an operation parameter of the packing machine to adjust the operation of the packing machine so as to reduce or to eliminate the defect; or ➢ to signal, through a human-machine interface, any anomaly, suggesting a corrective action.