The present disclosure describes an angioplasty balloon catheter having a retractable sheath and a flexible tip attached to the distal end of the sheath. The flexible tip is made of an elastomeric plastic that is capable of returning to its original shape after being expanded multiple times. The tip allows for the sheath to be retractable and the balloon inflated multiple times to treat or expand different locations within the vessel. Because the tip returns to its original shape each time, the tip is less likely to damage the vessel wall when the sheath is repositioned in the vessel, and also is easier to retract through a guide-catheter.