For a suture sleeve and implantation method for one or two implantable leads, the suture sleeve is adapted to be inserted into a vein to secure and protect the lead from damage when a suture thread is positioned and tied around the vein in the region over the suture sleeve to prevent bleeding from the vein. The suture sleeve has two lead receiving through holes, into each of which a medical implantable lead is insertable. The suture sleeve also has two elongated sleeve portions, each including a lead receiving through hole, which are positioned in parallel and displaced in relation to each other such that they are connected in a connecting portion. At least one sleeve portion projects further in one direction.