The invention is a method for the production of three-dimensional objects (A) through a stereolithography machine (1) comprising: a tank (2) containing a liquid substance (3) suited to solidify when subjected to a selective stimulation (4)； a modelling plate (6； 6'； 6") comprising a work surface (7) facing the bottom (2a) of the tank (2) for supporting the object (A)； emission means (5) for generating the selective stimulation (4) and conveying it towards the tank (2). The modelling plate (6； 6'； 6") comprises a groove (8) in the work surface (7) extending to its perimeter edge so as to have an open end at the level of the lateral surface of the plate (6； 6'； 6"). The method comprises operating the emission means (5) so as to solidifying a plurality of mutually superimposed layers (E) with predefined thickness of the liquid substance (3), and in such a way that a portion of the liquid substance (3') arranged in the groove (8) remains liquid.
