A processing machine for workpiece processing includes a cutting head that produces a cutting beam directed toward a workpiece, and a beam-catching device for receiving a discharge of the cutting beam from an underside of the workpiece during processing of the workpiece. The beam-catching device includes a housing defining an opening that opens toward the cutting beam and a beam-catching space adjacent the opening, the cutting beam discharging from the underside of the workpiece during the processing of the workpiece and entering the beam-catching space of the housing through the opening. The beam-catching device also includes at least one nozzle on at least one wall section of the housing, the nozzle feeding a fluid jet as a free jet to the beam-catching space in such a way that the at least one fluid jet crosses the cutting beam.