Methods are known for producing a body from a material susceptible to thermal cracking, in particular from an alloy, by casting a melt of the material in a mold with thermally insulated side walls and a bottom of material with good thermal conducting properties and cooling the melt in the casting mold, where the solid-liquid interface forming as the border between the melt and the already solidified material essentially extends parallel to the bottom and, in the course of the solidification of the melt, moves from the bottom in the direction of the exposed surface of the melt. In order to provide a simple and cost-effective method, for producing plate-shaped bodies of material susceptible to thermal cracking, which permits the casting of crack-free and homogeneous bodies, the melt is poured into a casting mold, the temperature of which in degrees Celsius corresponds maximally to a third of the liquidus temperature of the material and is cast in the shape of a rectangular plate with a plate thickness in the range between 5 mm and 20 mm, where in the course of solidification of the melt, the solid-liquid interface moves essentially in the direction of one of the long sides of the plate.