The system for delivery of a stent dilatable by means of a balloon, consisting of a multilumen polymeric catheter having, at least, two balloons at the input end, where the distal balloon is executed with capability of extending an eccentric stent clipped on it, and the proximal balloon of smaller diameter has, at least, two radiopaque labels (markers) and is executed with capability of accurate orientation of the stent in an artery lumen. Figure 4 is the representative Figure.