Abstract: The grate for a firing system has at least one rate conveyor having a plurality of fixed bar rows and moving bar rows alternating in the longitudinal direction, which are limited on both sides by side walls and which are composed of water-cooled grate plates (3; 4). These grate plates are provided with a multiplicity of orifices or slits (8) , arranged in groups, for the supply of primary air and are each pivotably connected respectively to a fixed and a movable grate plate carrier (6) in the region of their rear end and rest with their front end on the adjacent grate plate. In order to cool optimally the grate plates (3; 4) subjected to high thermal stress, there are provided, on the underside of the grate plate, at least in some grate plates, cooling ducts (9) which are located between the orifices or slits (8) , these cooling ducts being formed, on the one hand, by the grate plate itself and, on the other hand, by hollow profiles (10) attached to the grate plate.