A fastening device is useful for at least one supply hose and/or at least one supply line for fastening to an industrial-robot arm with a holder, an assignable holder unit for the supply hose and/or the supply line, and a lockable tensioning element. The holder is arranged on the lockable tensioning element so that the holder, by the tensioning element being clasped and locked around the industrial-robot arm, can be fastened and/or positioned flexibly on the industrial-robot arm and thus in the event of the holder being connected to the assignable holding unit the supply hose and/or the supply line can be oriented in a specific manner.