A roller grate arrangement for garbage-incinerating plants, in which a plurality of rollers with horizontal and parallel axes lie in an inclined plane. Primary air is fed to interiors of the rollers by air boxes located below the grate. The rollers have surfaces with air gaps for supplying the primary air, and the rollers are positioned to form a space between adjacent rollers. A component in the space between adjacent rollers, bridges the space between adjacent rollers. The component is free of air passages. Blast pipes are positioned in spaces between adjacent rollers and are connected to a separate system for feeding supplemental air.