The invention relates to an implantable medical device.This implantable medical device (10) to be implanted at an implantation site comprises a proximal end (P), a central portion (C) and a distal end (D), characterized in that it comprises, at its proximal end (P), at least one means (20) for positioning the implantable device (10) at a precise point of a branching (E) of a blood vessel (V), such as a coronary artery.The invention provides precise, exact and almost perfect positioning of the implantable medical device 10 such as a stent 11 at the branching E of the blood vessel V to be treated, in order to treat the ostial lesions or stenoses that have been very difficult to treat until now.