A catalytic combustion apparatus in which, by means of a combustion chamber having a fuel supply portion and a combustion air supply portion on the upstream side thereof, and a combustion gas exhaust port on the downstream side thereof and a catalytic combustion portion with an upstream surface and a downstream surface provided in said combustion chamber, said upstream surface and said downstream surface being substantially parallel to each other, a fuel-air mixture supplied to the interior of said combustion chamber is caused to react to liberate heat, characterized in that said catalytic combustion apparatus comprises a heat exchange portion, said heat exchange portion constituting part of walls of said combustion chamber and a fin-type radiant heat-receiving portion, said fin-type radiant heat-receiving portion protruding from said heat exchange portion into said combustion chamber, and being provided in the vicinity of said catalytic combustion portion, and characterized in that at least the surface of said fin-type radiant heat-receiving portion and the surface of said heat exchange portion each face in the same direction.