A method for producing a three-dimensional object (11) in layers by using a stereolithography machine (1) that includes: a container (2) containing a fluid substance (3) suited to solidify through exposure to predefined radiation (4a); an emitter (4) suited to emit the predefined radiation (4a) and to solidify a layer of the fluid substance (3) adjacent to the bottom (2a) of the container (2); a modelling plate (5) suited to support the solidified layer (6) and associated with an actuator (7) suited to move it perpendicular to the bottom (2a) of the container; a leveler (8) arranged in contact with the fluid substance (3). The method includes: selectively irradiating the layer of fluid substance to obtain the solidified layer; extracting the solidified layer from the fluid substance; redistributing the fluid substance in the container by moving the leveler so that they are passed between the modelling plate and the container.