Catheters having tubular body portion formed with an inner sheath of a rigid polymeric material encapsulated by an outer sheath formed of the same or different rigid polymeric material. A wire braid is embedded in the tubular body between the inner and outer sheaths. The catheter further includes a tip portion which is welded to an end of the tubular body portion. This tip portion has an inner sheath of a rigid polymeric material encapsulated by an outer sheath of a flexible polymeric material. The inner sheath of both the body and tip portions are formed from the same polymeric material. The compatibility between the polymeric materials of the inner sheaths substantially increases the bonding between the tip and body portions of the catheter to form a stable joint.