A catheter having an multilayered shaft section with a first layer formed of a polyimide first material and a second layer formed of a second material. In a presently preferred embodiment, the polyimide material is a thermoset polyimide. However, in alternative embodiments, a thermoplastic polyimide is used. The thermoset polyimide has a very high glass transition temperature (Tg) of approximately 400° C. (as measured by differential scanning calorimetry), and excellent dimensional stability at the processing temperature of polyamides commonly used in catheter components. As a result, during formation and assembly of the catheter, production of a thin polyimide layer with controlled dimensions is facilitated. The polyimide has a high modulus and provides a thin walled yet highly pushable shaft section, while the second layer provides kink resistance. In one embodiment, the second material is selected from the group consisting of a polyamide material and a polyurethane material.