In a method according to the invention for the manufacture of tear notches (22) in can lids (11), the can lid (11) is subjected in the press tool (10) to a laser engraving during which the desired tear notch (22) is generated. The laser ablation process occurs preferably, with the press tool (10) closed, within a time period of less than 30 ms. During this time, the focal spot (27) of the laser beam (26) is moved over the whole desired contour of the tear notch (22) so that an uninterrupted groove-like cavity is formed. With the use of laser engraving in the press tool, the mechanical wear of the press tool and of the press molds can be minimized and in this way the tool operating life can be increased. In particular, the manufacture of can lids with consistently high quality is ensured.