A cooking grate and a grill assembly having one or more of the cooking grates therein. The cooking grate can be a one-piece structure but is preferably a two-piece structure wherein the upper piece comprises longitudinally extending food support ribs having hollow interiors. The ribs will be positioned over and cover open areas in the lower structure so that combustion gases flowing through the open areas of the lower structure will flow into the hollow interiors of the food support ribs.