In a method for producing a three-dimensional mold and a three-dimensional shaped object by means of layer-by-layer material application, geometry data for the shaped object, a support part having a base surface for holding the three-dimensional shaped object, and a first and a second material that can be solidified are made available. In the solidified state, the second material includes at least one main component that can be cross-linked by means of treatment with energy, and a latent hardener that can be thermally activated, by means of which chemical cross-linking of the main component can be triggered by means of the effect of heat. To form a negative-shape layer, the first material is applied to the base surface and/or to a solidified material layer of the three-dimensional shaped object situated on this surface, in accordance with the geometry data, in such a manner that the negative-shape layer has at least one cavity that has a negative shape of a material layer of the shaped object to be produced. The negative-shape layer is solidified. To form a shaped-object layer, the cavity is filled with the second material, and afterward its main component is partially cross-linked by means of treatment with energy, and solidified. Regions of the solidified negative-shape layer and/or shaped-object layer that project beyond a plane arranged at a distance from the base surface are removed by means of material removal. The steps mentioned above are repeated at least once. The main component is further cross-linked by means of a heat treatment, and solidified in such a manner that the second material has a greater strength than the solidified first material and the second material after partial cross-linking. The negative-shape layers are removed from the shaped object.