Abstract: The invention relates to a numeric control engraving machine which can be used to engrave different objects such as gems, plates of metal or another material, such as to produce the effect obtained by means of artisan engraving with a chisel, in which the tradesperson performs a downward/upward movement with the chisel with each insertion made in the surface of the body to be engraved, such that the engraved line has a curvilinear trajectory. In addition to the three axes (X, Y, Z) or degrees of freedom for the movement of the tool holder, the inventive engraving machine also creates two complementary axes which are denoted as PT (depth of line) and SV (vector tracing), thereby producing the same type of engraving as that obtained by a tradesperson with a chisel. The PT axis controls the penetration movement of the tool for the curvilinear line over the course of the vector that defines the direction and sense of the line.