Abstract: A method of machining workpieces, particularly for wire electroerosion machining in which a machining gap is formed between the machined piece and the workpiece, a machined piece is cut out of the workpiece, and the machined piece is secured against dropping out, whereby the machined piece is secured by at least one separate securing means arranged in the machining gap. The securing means is preferably cut out of the workpiece by electro-erosion (FIG. 1).