Introducer sheath (10,30,40) having a flexible kink-resistant distal tip portion (26,32,42). A multilayer sheath structure is used, with an inner tube (12) such as PTFE having a coil (14) of wire wound therearound. A first length of outer tubing (20) such as of nylon is inserted over most of the coil-wound inner tube (12) in a manner exposing a distal length of coil-wound inner tube. A second length of outer tubing (22) with a softer durometer than first outer tubing length (20), is inserted over the exposed coil-wound inner tube and extends for a slight distance beyond the end of the coil. During heat application, the outer tubing lengths (20, 22) are melted to bond to each other and to flow between the spacings of the coil turns to bond to the roughened outer surface of the inner tube (12). The distal tip region corresponding to the second tubing length is flexible and is kink-resistant due to the coil (14).
