The invention relates to a laser machining head (100) for machining a workpiece by means of a working laser beam (108), with a camera (102) with an imaging lens system (116) arranged in front of said camera in the beam path for observing a machining region of the workpiece that is being machined by means of the working laser beam (108), with a focusing lens system (114) for focusing the working laser beam (108) on the workpiece surface (104) or on a position defined in relation to the workpiece surface (104), and with an evaluation unit (122) which is designed to calculate a corrective adjusting displacement (ΔZos, ΔZB) by means of an adjusting displacement (ΔdKL) of the imaging lens system (116) in the direction of the optical axis in order to refocus the camera image when there is a shift in the focal point of the focusing lens system (114), which corrective adjustment displacement compensates a shift in the focal point of the focusing lens system (114) in relation to the workpiece surface (104) or with respect to a position defined in relation to the workpiece surface (104).