An intravascular catheter such as a dilatation catheter for angioplasty procedures having a removable distal shaft section. The catheter construction allows the original distal shaft section of the catheter to be removed and a replacement distal shaft section to be secured to the proximal section which is useful with angioplasty catheters when the dimensions of the balloon on the original distal shaft section are inappropriate for dilating a particular stenotic region. Such catheter construction is also useful when there is a need to implant a stent into a dilated stenotic region to maintain its patency.