A method for additive manufacturing, wherein an additive-manufacturing head directs one or more jets of powders (PJ), in particular metal powders, onto a region (PD) of a working surface , wherein said head simultaneously directs a laser beam (L) onto said region (PD), to form a focusing spot (LS) of the laser beam (L) on said region (PD), and wherein, during direction of said powder jets (PJ) and of said laser beam (L) onto said region (PD), said additive-manufacturing head is simultaneously translated in a direction transverse to the direction of the laser beam (L) so as to give rise to a trace (MPP) obtained by melting of said powders as a result of the power (D) transmitted to said powders (PJ) by said focusing spot (LS), wherein, during translation of the additive-manufacturing head in said transverse direction, a dynamic movement with respect to the head is imparted on the laser beam (L) emitted by the head , said dynamic movement being configured in such a way as to obtain a width (c) of said trace (MPP) that is independent of the size of the focusing spot (LS) of the laser beam (L) and is equivalent to the one that would be produced by simple translation of an apparent spot having a width corresponding to the width (c) of the trace (MPP), said dynamic movement being moreover configured in such a way that the distribution of the power (D) transmitted by the laser beam (L) to the trace (MPP) varies along the direction of the width (c) of the trace (MPP), the method characterized in that the movement imparted on the laser beam (L) is such that a central area of the trace receives from the laser beam (L) a lower power distribution than do lateral areas of the trace so as to obtain a trace (MPP) having a pre-set and controlled depth (h) that is relatively small as compared to the width (c), notwithstanding the tendency of the powders to accumulate to a higher level (q, q') in the central area of the trace (MP, MP'). wherein an additive-manufacturing head directs one or more jets of powders (PJ), in particular metal powders, onto a region (PD) of a working surface , wherein said head simultaneously directs a laser beam (L) onto said region (PD), to form a focusing spot (LS) of the laser beam (L) on said region (PD), and wherein, during direction of said powder jets (PJ) and of said laser beam (L) onto said region (PD), said additive-manufacturing head is simultaneously translated in a direction transverse to the direction of the laser beam (L) so as to give rise to a trace (MPP) obtained by melting of said powders as a result of the power (D) transmitted to said powders (PJ) by said focusing spot (LS), wherein, during translation of the additive-manufacturing head in said transverse direction, a dynamic movement with respect to the head is imparted on the laser beam (L) emitted by the head , said dynamic movement being configured in such a way as to obtain a width (c) of said trace (MPP) that is independent of the size of the focusing spot (LS) of the laser beam (L) and is equivalent to the one that would be produced by simple translation of an apparent spot having a width corresponding to the width (c) of the trace (MPP), said dynamic movement being moreover configured in such a way that the distribution of the power (D) transmitted by the laser beam (L) to the trace (MPP) varies along the direction of the width (c) of the trace (MPP), the method characterized in that the movement imparted on the laser beam (L) is such that a central area of the trace receives from the laser beam (L) a lower power distribution than do lateral areas of the trace so as to obtain a trace (MPP) having a pre-set and controlled depth (h) that is relatively small as compared to the width (c), notwithstanding the tendency of the powders to accumulate to a higher level (q, q') in the central area of the trace (MP, MP'). <EOS>