Apparatus for cutting at least one sheet of material, comprising: - a cutting chamber equipped with a loading inlet and with an unloading outlet, said cutting chamber being configured to house at least one portion of the sheet to be cut; - cutting means adapted to cut the sheet in the cutting chamber; - a control unit configured to control said apparatus; and - a conveyor belt adapted to feed the sheet into the cutting chamber along a forward direction, characterized in that it comprises a closure element at least at the unloading outlet of said cutting chamber, said closure element being movable between an open position, in which at least one portion thereof is at a first distance from the surface of the sheet or from the surface of the conveyor belt allowing access to the cutting chamber, and a closed position, in which said portion is at a second distance from the surface of the sheet or from the surface of the conveyor belt, said second distance being less than said first distance, said distances being measured along a direction which is orthogonal to the surface of the sheet or to the surface of the conveyor belt, wherein said cutting means comprise cutting heads mounted on movable carriages (8"), the orientation of said cutting heads being invertible, making said apparatus symmetrical. - a cutting chamber equipped with a loading inlet and with an unloading outlet, said cutting chamber being configured to house at least one portion of the sheet to be cut; - cutting means adapted to cut the sheet in the cutting chamber; - a control unit configured to control said apparatus; and - a conveyor belt adapted to feed the sheet into the cutting chamber along a forward direction, characterized in that it comprises a closure element at least at the unloading outlet of said cutting chamber, said closure element being movable between an open position, in which at least one portion thereof is at a first distance from the surface of the sheet or from the surface of the conveyor belt allowing access to the cutting chamber, and a closed position, in which said portion is at a second distance from the surface of the sheet or from the surface of the conveyor belt, said second distance being less than said first distance, said distances being measured along a direction which is orthogonal to the surface of the sheet or to the surface of the conveyor belt, wherein said cutting means comprise cutting heads mounted on movable carriages (8"), the orientation of said cutting heads being invertible, making said apparatus symmetrical. characterized in that it comprises a closure element at least at the unloading outlet of said cutting chamber, said closure element being movable between an open position, in which at least one portion thereof is at a first distance from the surface of the sheet or from the surface of the conveyor belt allowing access to the cutting chamber, and a closed position, in which said portion is at a second distance from the surface of the sheet or from the surface of the conveyor belt, said second distance being less than said first distance, said distances being measured along a direction which is orthogonal to the surface of the sheet or to the surface of the conveyor belt, wherein said cutting means comprise cutting heads mounted on movable carriages (8"), the orientation of said cutting heads being invertible, making said apparatus symmetrical.