A device enabling a stent to be delivered into a blood vessel or the like (Vsa), said stent being defined between two ends, respectively a proximal end and a distal end, and being arranged in such a manner as to be suitable for taking up two shapes, a folded shape (Fr) in which it has a transverse dimension of a first value, and a deployed shape (Fd) in which it has a transverse dimension of a second value greater than the first, the device comprising: a catheter defined between a proximal end and a distal end and constituted by a tube having a through bore of cylindrical shape along a central axis, said through bore being arranged so as to enable said stent to slide therealong when it is in its folded state (Fr), and after being inserted therein via its distal end through the end of said through bore that opens out into the proximal end of said catheter; • a part slidably mounted inside said through bore; • a hole made in said part so as to have an inlet opening situated in the end face of said part that faces towards the proximal end of said catheter, said hole being arranged to receive a portion of the distal end of said stent when it is in its folded shape (Fr); and • mean for moving said stent in translation relative to the catheter at least when said stent is in said through bore and when the portion of its distal end is plugged into said hole over a length not less than the depth of the hole; the device being characterized by the fact that said part is made of a shape memory material in such a manner as to be suitable for taking up two shapes: i) a stable shape (Fst) in which it presents an overall transverse dimension no greater than the difference between the inside transverse dimension of the catheter and twice the thickness of the side wall of the stent; and ii) an unstable shape (Fin) in which it presents an overall transverse dimension not less than the inside transverse dimension of the catheter, and possibly slightly smaller. a catheter defined between a proximal end and a distal end and constituted by a tube having a through bore of cylindrical shape along a central axis, said through bore being arranged so as to enable said stent to slide therealong when it is in its folded state (Fr), and after being inserted therein via its distal end through the end of said through bore that opens out into the proximal end of said catheter; • a part slidably mounted inside said through bore; • a hole made in said part so as to have an inlet opening situated in the end face of said part that faces towards the proximal end of said catheter, said hole being arranged to receive a portion of the distal end of said stent when it is in its folded shape (Fr); and • mean for moving said stent in translation relative to the catheter at least when said stent is in said through bore and when the portion of its distal end is plugged into said hole over a length not less than the depth of the hole; • a part slidably mounted inside said through bore; • a hole made in said part so as to have an inlet opening situated in the end face of said part that faces towards the proximal end of said catheter, said hole being arranged to receive a portion of the distal end of said stent when it is in its folded shape (Fr); and • mean for moving said stent in translation relative to the catheter at least when said stent is in said through bore and when the portion of its distal end is plugged into said hole over a length not less than the depth of the hole; the device being characterized by the fact that said part is made of a shape memory material in such a manner as to be suitable for taking up two shapes: i) a stable shape (Fst) in which it presents an overall transverse dimension no greater than the difference between the inside transverse dimension of the catheter and twice the thickness of the side wall of the stent; and ii) an unstable shape (Fin) in which it presents an overall transverse dimension not less than the inside transverse dimension of the catheter, and possibly slightly smaller. i) a stable shape (Fst) in which it presents an overall transverse dimension no greater than the difference between the inside transverse dimension of the catheter and twice the thickness of the side wall of the stent; and ii) an unstable shape (Fin) in which it presents an overall transverse dimension not less than the inside transverse dimension of the catheter, and possibly slightly smaller.