A catheter has extruded length of tubing and an injection molded tip that facilitates insertion of the catheter into the body. The catheter is fabricated by the steps of providing the tubing, for example, by extruding the tubing from a thermoplastic resin cutting the tubing to the desired length, inserting a plug into the tubing, inserting one end of the tubing into an injection mold cavity, creating and forming a tip in an injection molding step, and demolding the tubing with the formed tip.
