An arrangement for controlling the height and/or incline of a combine header for harvesting thin-stemmed crops includes a control system which is connected to a sensor for detecting the height of the combine header above the ground, and to an actuator for controlling the height and/or incline of the combine header and which can be operated to control the actuator in dependence on signals of the sensor. A mulching appliance with a cultivating tool for shredding plant stumps is attached to the combine header in a vertically movable manner following the contour of the ground, and the sensor is set up to detect the position of the mulching appliance relative to the combine header.