The invention is a method for controlling the activity of two light radiation sources (2, 3) belonging to a stereolithography machine (1) and suited to act at the level of a portion (104) of a superimposition area (101) defined on the work surface (100) of the stereolithography machine (1) for the production of a three-dimensional object (200) through stereolithography. For each one of the lines (210) with generic length L that define each layer (201) of the three-dimensional object (200) within the portion (104), the method provides for activating: a first light radiation source (2) for a first section (211) of the line (210) having length X; a second light radiation source (3) for the remaining second section (212) of the line (210) having length Y, wherein the value X of the first section (211) is selected within the interval 0