There is proposed a laser machining device (10) for a laser workpiece machining operation, having a laser (14) for producing laser radiation (50), and having at least two laser tools (18, 18′), to which the laser radiation (50) can be supplied by means of an optical-fibre cable (16). According to the invention, the optical-fibre cable (16) has an input-side end (20) having at least two optical fibre cores (22, 22′) and a plurality of output-side ends (26, 26′) each having one of the optical fibre cores (22, 22′), the optical fibre cores (22, 22′) each being connected to one of the laser tools (18, 18′). A switching device (28) is preferably provided for selectively coupling the laser radiation (50) in one or more of the optical fibre cores (22, 22′) of the optical-fibre cable (16).