A stent delivery system for placing a stent within a vessel of a human body. The stent delivery system includes an elongated tube that extends for most of the length of the stent delivery system and is attached to a distal end of a proximal section of an inflatable balloon. A stent is then co-axially mounted on the inflatable balloon. A front section of the stent delivery system includes a small angle cone having a lubricious outer surface. The front section is then attached to a cylindrical distal portion of the balloon and has an outside diameter at the proximal end of the small angled cone which is approximately the same diameter as the outer diameter of the stent. A core wire extends within the inflatable balloon and further into the front section of the stent delivery system.