A heat therapy appliance for treatment of neonates has a lying surface on a platform bordered by side walls, a hood movable between a closed incubator position, bearing on the side walls and covering the lying surface, and an open nursing care position, a radiant heater secured on the appliance structure and directed at the lying surface, lifting devices acting on the platform, and a control device actuating the lifting devices to adjustably set an angle of inclination of the platform with respect to the horizontal. The platform is mounted so as to be adjustable in height. The control device also actuates the lifting devices in the same direction, to adjust the vertical position of the platform with respect to the side walls between a first position and a second position higher than the first position.