An intraluminal apparatus for delivering a self-expanding stent, the intraluminal apparatus extending along a longitudinal axis from a distal side to a proximal side comprising, in delivery configuration: a) a retracting sheath having a lumen along its longitudinal axis and slidably covering a stent receiving region placed at the distal end of the lumen; b) an inner shaft longitudinally and centrally disposed in the intraluminal apparatus, at least a distal portion of the inner shaft being disposed within the sheath; c) the self-expanding stent in a compressed state disposed within the stent receiving region of the lumen; d) a holding means delimitating an inner cavity, disposed adjacent to a proximal side of the stent in the sheath, the proximal end of the holding means being permanently joined to the inner shaft; and e) a handling means placed towards the proximal side of the lumen, able to displace longitudinally the retracting sheath with respect to the inner shaft characterized in that: - the holding means has a self-expanding property capable of radially expanding from a compressed state within the intraluminal apparatus to an expanded state; - the holding means is formed by braiding or weaving a plurality of filaments made of an elastic material; - in the expended state, the diameter of the cavity of the holding means is radially increased toward its distal end; - when the intraluminal apparatus is in the delivery configuration, the distal portion of the holding means surrounding the proximal portion of the stent defines an overlapping region between the holding means and the stent; - the ratio L / L Comp of the length of the overlapping region, L, to the length of the self-expanding stent in its compressed state, L Comp, in their compressed state being at least 10% and at most 30%, preferably at least 20%. a) a retracting sheath having a lumen along its longitudinal axis and slidably covering a stent receiving region placed at the distal end of the lumen; b) an inner shaft longitudinally and centrally disposed in the intraluminal apparatus, at least a distal portion of the inner shaft being disposed within the sheath; c) the self-expanding stent in a compressed state disposed within the stent receiving region of the lumen; d) a holding means delimitating an inner cavity, disposed adjacent to a proximal side of the stent in the sheath, the proximal end of the holding means being permanently joined to the inner shaft; and e) a handling means placed towards the proximal side of the lumen, able to displace longitudinally the retracting sheath with respect to the inner shaft - the holding means has a self-expanding property capable of radially expanding from a compressed state within the intraluminal apparatus to an expanded state; - the holding means is formed by braiding or weaving a plurality of filaments made of an elastic material; - in the expended state, the diameter of the cavity of the holding means is radially increased toward its distal end; - when the intraluminal apparatus is in the delivery configuration, the distal portion of the holding means surrounding the proximal portion of the stent defines an overlapping region between the holding means and the stent; - the ratio L / L Comp of the length of the overlapping region, L, to the length of the self-expanding stent in its compressed state, L Comp, in their compressed state being at least 10% and at most 30%, preferably at least 20%.