Abstract: The invention relates to a method for continuously cooking meat foodstuffs, wherein said meat foodstuffs circulate in a tunnel furnace on a conveyor belt or on conveying rolls or rollers, which is characterized in that the meat foodstuffs are subjected to the action of a metallic fibre membrane burner of the MFB type. The facility required for implementing the method schematically illustrated in FIG. 1 essentially comprises a tunnel furnace equipped with a conveyor belt or the like, provided with an inlet for the foodstuffs to be cooked at the front and, at the back, with an outlet for such foodstuff after cooking. At least one burner and preferably several successive burners of the MFB type equipped with a thermal control are arranged in the tunnel furnace.