Device for placement of a self-expanding endoprosthesis, extending between a proximal end and a distal end. An outer sheath (1) is able to keep an endoprosthesis (21) in radial contraction. A mandrel (4), which extends axially inside the outer sheath, is movable axially with respect to the outer sheath and has, at its distal end (3), a chamber (2) able to receive an endoprosthesis (21) in radial contraction, the chamber being delimited at its distal end by an atraumatic tip (6) which can occlude the outer sheath. The atraumatic tip (6) is made of elastomer material that forms a thin-walled inflatable chamber (10) which can be inflated by a pressure insufficient to widen a channel intended to receive the prosthesis, and into which there leads a lumen (9) extending from the distal end to the proximal end of the mandrel for passage of an inflation fluid.
