Method for producing objects by a stereolithography device, which device comprises at least one vat inside which there is provided a resin intended to be solidified by a curing process, by projecting an image obtained by a light radiation on the bottom of said vat, generated by a source arranged under said vat, there being provided an adhesion platform placed in contact with said resin, such to form a first layer of cured material adherent to said platform, there being further provided means for moving said platform, intended to move away/to approach said platform with respect to the bottom of the vat, such to form the following layers of cured material, which method provides the following steps: a) placing said platform at a distance from the bottom of said vat equal to the thickness of the layer of the resin to be cured, b) generating the light radiation, irradiating the resin with it and consequently curing the layer of said resin, c) moving away said platform from the bottom of said vat and detaching the layer of cured resin from the bottom of said vat d) forming the following layer of cured resin, wherein the speed with which said platform moves away/approaches is variable and it does not take null values, said speed being calculated depending on the amount of resin to be cured and depending on the size of the resin layer to be cured; characterized in that the step c) of moving away said platform provides three steps: c1) first moving away of said platform with respect to the bottom of the vat, c2) second moving away of said platform with respect to the bottom of the vat, c3) approaching said platform with respect to the bottom of the vat for forming the next layer, the passage from one step to another one is obtained by changing the speed with which the platform moves away from/approaches the bottom of the vat, the platform being kept in movement during all the three steps, and in that step c1) of the first moving away of the platform provides a bending of said platform about a bending point, such that said layer of cured resin begins to be detached from the bottom of said vat in the region nearest said bending point, said bending being caused by moving said platform away with respect to the bottom of said vat; said platform being supported by elastically yielding supporting means, such that said platform has a yielding property in the lifting direction according to a predetermined force and in that said platform is composed of at least two elongated members (31, 32) arranged such to form a "L", of which a first elongated member arranged in a direction substantially perpendicular to said vat and a second elongated member arranged in a direction substantially parallel to said vat, to which second elongated member the layer of cured resin is attached, said platform providing at least one bending point in the proximity of the corner area of said "L". a) placing said platform at a distance from the bottom of said vat equal to the thickness of the layer of the resin to be cured, b) generating the light radiation, irradiating the resin with it and consequently curing the layer of said resin, c) moving away said platform from the bottom of said vat and detaching the layer of cured resin from the bottom of said vat d) forming the following layer of cured resin, wherein c1) first moving away of said platform with respect to the bottom of the vat, c2) second moving away of said platform with respect to the bottom of the vat, c3) approaching said platform with respect to the bottom of the vat for forming the next layer,