A die for producing flat sections, in particular a flat-sheet die for extrusion of ceramic green films, has a slot-shaped die outlet which opens in an outlet orifice. The height of the slot-shaped die outlet narrows beginning in the immediate vicinity of the outlet orifice and continuing to the outlet orifice. The die outlet is preferably formed by a first lip and a second lip situated opposite the first, having a constant first distance in at least some areas outside the immediate vicinity of the outlet orifice, and having at the outlet orifice a second smaller distance in comparison with the first distance, the first distance between the lips decreasing linearly to the second distance in the area of the immediate vicinity of the outlet orifice.