A catheter tip electrode has a tissue contacting surface which electrically conducts RF energy to the tissue and is more thermally conductive than adjacent non-electrically conductive coating or cover which prevents RF conduction to the tissue contacting that surface. The tip electrode has a shell with a nonablating hollow proximal neck portion and a distal ablating portion defining a fluid chamber, and a plug-like support member which is configured with a fluid channel on its outer surface so a fluid passage is provided between the member and the neck portion for convective or direct cooling of the nonablating neck portion and nonconductive tubing covering it.
