A method for oblique laser beam cutting of a workpiece and system for performing the same, in which a supersonic flow of cutting gas discharged from a cutting gas nozzle is orientated at an oblique cutting angle with respect to a surface of a workpiece, and in which the workpiece and the laser beam are moved relative to each other during the oblique laser beam cutting operation. The oblique cutting angle extends along a plane that is perpendicular to a direction of advance. During operation, the position of the laser beam on the workpiece surface is adjusted in such a manner that the laser beam strikes the workpiece surface in a high-pressure region formed within the supersonic flow of the cutting gas.