The invention relates to a drill bit (2), having main cutting edges (4a, 4b) which are connected together by a transversal cutting edge (6). An open surface (7) which extends into a flute (8) lies adjacent to each main cutting edge. The drill bit (2) is ground, in particular, during a continuous three-dimensional grinding process in such a way that the open surface (7) forms a continuous curved surface which follows a radius of curvature (R) running from the main cutting edge (4a) in the direction of the flute (8). The continuous grinding process, in comparison to a conventional two-stage process, produces an improved drill bit geometry which is devoid of ridges (16). The ridge-free configuration reduces the mechanical stress during drilling to a minimum.