A method for laser welding one or more workpieces made of press-hardenable steel in a butt joint, wherein the workpiece or workpieces have a thickness of between 0.5 and 1.8 mm, and/or a jump in thickness of between 0.2 and 0.4 mm occurs at the butt joint, and wherein laser welding is carried out with the feed of filler wire into the molten bath, which is generated only by at least one laser beam. The filler wire contains at least one alloy element from the group comprising manganese, chromium, molybdenum, silicon and/or nickel, which alloy element promotes the formation of austenite in the molten bath generated by the laser beam, wherein said at least one alloy element is present in the filler wire in a mass percentage greater by at least 0.1 wt. % than in the steel of the workpiece or workpieces and the workpiece or workpieces used are non-coated or the coating thereof is partially removed.