The invention concerns a process for producing products of individual geometry, in particular dental prostheses or dental auxiliary parts, comprising the steps of producing a plurality of products on the surface of a substrate plate by means of selective hardening, in particular by means of selective sintering or melting, in which the material is applied in successive layers, after each layer application one or more predetermined regions of the applied layer is selectively hardened by means of an energy-rich radiation and connected to one or more regions of the subjacent layer, wherein the predetermined regions are predetermined on the basis of a cross-sectional geometry of the product in the respective layer. According to the invention the successive layers are applied in layer planes oriented inclinedly relative to the surface of the substrate plate. The invention further concerns an apparatus for carrying out such a process.