Abstract: The present invention relates to an improved intravascular catheter. The intravascular catheter involves the use of a progressively compliant tip at the distal end of the catheter body. This progressively compliant tip utilizes an endmost tubular member having a first softness and an intermediate tubular member having a second softness. The low temperature thermoplastic overcoat on the catheter body has a third softness which is significantly lower than the first and second degrees of softness exhibited by the other tubular members. The endmost member, intermediate member and thermoplastic overcoat are joined together by heat formed, blended tubular regions, each having respective incrementally increasing intermediate softness characteristics over predetermined lengths thereof.