A self-drilling screw (10) has a first cutting edge (21) provided exclusively in a radially inner region of the drilling tip (12), extending at a first acute angle (α1) to the longitudinal axis (L), and a second cutting edge (22) provided in radially outer region of the drilling tip (12) and extending at a second acute angle (α2) to the longitudinal axis (L), with a first enveloping conical circumferential surface (A1) which is defined by the first cutting edge (21) corresponding, with a maximum deviation of +/−10%, to a second enveloping conical circumferential surface (A2) defined by the second cutting edge (22), and with the first acute angle (α1) corresponding, with a maximum deviation of +/−5°, to the second acute angle (α2).