A method for a layer-wise construction of at least one three-dimensional object from a building material in powder form by means of a consecutive solidification of layers of the building material in powder form at those positions of each layer that correspond to the cross-section of the at least one object, wherein the solidification is effected by the input of heat energy and the method has the following steps: a first powder application step of providing a layer of a building material in powder form on a building support or a previously provided layer of the building material in powder form, a first pre-heating step of pre-heating the applied building material to a tree-hating temperature below the temperature at which the material is solidified, a first solidification step of solidifying the applied layer by means of electromagnetic radiation or particle radiation, wherein the radiation acts on all positions to be solidified of the layer so that the powder at these positions is solidified by the heat energy that is input by the radiation, a second powder application step of providing a layer of a building material in powder form on a layer that has been previously solidified at selected positions, a second pre-heating step of pre-heating the applied building material to a pre-heating temperature below the temperature at which the material is solidified, a second solidification step of solidifying the applied layer by means of electromagnetic radiation or particle radiation, wherein the radiation acts on all positions to be solidified of the layer so that the powder at these positions is solidified by the heat energy input by the radiation, wherein the second powder application step, the second pre-heating step and the second solidification step are subsequently repeated until all cross-sections of the at least one three-dimensional object are solidified, characterised in that in at least one second solidification step the amount of heat energy input per unit area by the electromagnetic radiation or particle radiation into at least one partial region of the layer is adjusted in dependence the duration of the preceding solidification step for the preceding powder layer or in dependence of the duration calculated in advance of the current second solidification step. a first powder application step of providing a layer of a building material in powder form on a building support or a previously provided layer of the building material in powder form, a first pre-heating step of pre-heating the applied building material to a tree-hating temperature below the temperature at which the material is solidified, a first solidification step of solidifying the applied layer by means of electromagnetic radiation or particle radiation, wherein the radiation acts on all positions to be solidified of the layer so that the powder at these positions is solidified by the heat energy that is input by the radiation, a second powder application step of providing a layer of a building material in powder form on a layer that has been previously solidified at selected positions, a second pre-heating step of pre-heating the applied building material to a pre-heating temperature below the temperature at which the material is solidified, a second solidification step of solidifying the applied layer by means of electromagnetic radiation or particle radiation, wherein the radiation acts on all positions to be solidified of the layer so that the powder at these positions is solidified by the heat energy input by the radiation, wherein the second powder application step, the second pre-heating step and the second solidification step are subsequently repeated until all cross-sections of the at least one three-dimensional object are solidified, characterised in that in at least one second solidification step the amount of heat energy input per unit area by the electromagnetic radiation or particle radiation into at least one partial region of the layer is adjusted in dependence the duration of the preceding solidification step for the preceding powder layer or in dependence of the duration calculated in advance of the current second solidification step.