Disclosed is a system for delivering self-expanding stents to stenting sites within the body, which minimizes trauma to the affected tissue of the patient yet, at the same time, offers the medical practitioner a robust and simple system for stent placement. These technical effects are achieved by providing a catheter which receives the stent at its proximal end and guides it to the stenting site. The catheter serves as a guide catheter and has a tapered distal tip from which the stent emerges at the site of stenting. A stent pusher can be used which abuts the proximal end of the stent inside the guide catheter. The tapered tip can be molded and can be integral with the catheter shaft or bonded to it. The guide catheter can include a figurated portion towards its distal tip. The system has particular application to stenting the carotid artery.