A method for the separating machining of a workpiece, in particular a plate-shaped workpiece, wherein a workpiece part is cut out of the workpiece along a cutting contour, wherein a jet cutting device with a cutting head is used for the separating machining, wherein the jet cutting device has a workpiece support with a plurality of support points for holding the workpiece and the method comprises the following steps: a step for determining the position of the support points, wherein this step comprises either measuring a position of the support points and/or a relative position of the workpiece to the support points, or assuming the position of the support points and/or the relative position of the workpiece to the support points; a step for defining regions free of starting points depending on a shape of the cutting contour; in particular a step for defining regions free of end points depending on a shape of the cutting contour and/or requirements on the cutting quality; a step for defining regions (48, 50) free of starting points and end points depending on the assumed or measured position of the support points and/or relative position of the workpiece to the support points; characterized by the steps: a step for defining a grid of possible starting points and end points, omitting the predetermined regions (48, 50) free of starting points and end points; either a step for calculating a torque in the stabilizing and/or tilting direction about a relevant tilting axis for each of the points of the grid, taking into account the shape of the cutting contour and at least the material thickness, density and/or gas pressure of the cutting head; or a step for calculating a tilting height and/or a tilting depth for each of the points of the grid, taking into account the shape of the cutting contour and the position of the support points; in particular a step in which a ranking of points of the grid is created in order of the highest torques in the stabilizing direction or lowest tilting heights or tilting depths or torques in the tilting direction and, if necessary, transferred to a path planning of the cutting head; selection of one of the points of the grid and execution of the separating machining. a step for determining the position of the support points, wherein this step comprises either measuring a position of the support points and/or a relative position of the workpiece to the support points, or assuming the position of the support points and/or the relative position of the workpiece to the support points; a step for defining regions free of starting points depending on a shape of the cutting contour; in particular a step for defining regions free of end points depending on a shape of the cutting contour and/or requirements on the cutting quality; a step for defining regions (48, 50) free of starting points and end points depending on the assumed or measured position of the support points and/or relative position of the workpiece to the support points; characterized by the steps: a step for defining a grid of possible starting points and end points, omitting the predetermined regions (48, 50) free of starting points and end points; either a step for calculating a torque in the stabilizing and/or tilting direction about a relevant tilting axis for each of the points of the grid, taking into account the shape of the cutting contour and at least the material thickness, density and/or gas pressure of the cutting head; or a step for calculating a tilting height and/or a tilting depth for each of the points of the grid, taking into account the shape of the cutting contour and the position of the support points; in particular a step in which a ranking of points of the grid is created in order of the highest torques in the stabilizing direction or lowest tilting heights or tilting depths or torques in the tilting direction and, if necessary, transferred to a path planning of the cutting head; selection of one of the points of the grid and execution of the separating machining. a step for defining a grid of possible starting points and end points, omitting the predetermined regions (48, 50) free of starting points and end points; either a step for calculating a torque in the stabilizing and/or tilting direction about a relevant tilting axis for each of the points of the grid, taking into account the shape of the cutting contour and at least the material thickness, density and/or gas pressure of the cutting head; or a step for calculating a tilting height and/or a tilting depth for each of the points of the grid, taking into account the shape of the cutting contour and the position of the support points; in particular a step in which a ranking of points of the grid is created in order of the highest torques in the stabilizing direction or lowest tilting heights or tilting depths or torques in the tilting direction and, if necessary, transferred to a path planning of the cutting head; selection of one of the points of the grid and execution of the separating machining.