Method of making a balloon catheter includes melt-extruding a thermoplastic polymeric material into a tube, cooling the extruded tube, placing the extruded tube within a capture member and biaxially orienting the polymeric material of the extruded tube while simultaneously tapering at least a section of the extruded tube by radially expanding the extruded tube with pressurized media in the tube lumen and axially expanding the extruded tube with an external load applied on at least one end of the tube as an external heat supply traverses longitudinally from a first end to a second end of the extruded tube in the capture member, wherein an overall axial load on the tubing is varied as at least a section of the tube is heated. The method includes cooling the expanded tube to form a tapered biaxially oriented nonporous thermoplastic polymer tubular member and sealingly securing a balloon proximate a distal end of the tubular member.