A method for grinding bevel gears, wherein a cup grinder is used as first grinding tool (2.1) during a first method section and another cup grinder is used as second grinding tool (2.2) during a second method section, having the following steps: a) fastening the first grinding tool (2.1) on a tool spindle of a grinding machine, b) fastening a first workpiece on a workpiece spindle of the grinding machine, c) CNC-controlled performance of a first single-indexing grinding procedure using the first grinding tool (2.1), wherein all first tooth flanks (5.1) of the first workpiece are machined by grinding step-by-step in the scope of the first single-indexing grinding procedure, d) separating the first workpiece from the workpiece spindle, wherein, at a later point in time, the first workpiece is re-chucked on the workpiece spindle of a grinding machine, which carries the second grinding tool (2.2) on a tool spindle, whereby a concentricity error of the first chucking of the workpiece is different with respect to a concentricity error of the workpiece of the second re-chucking, followed by the following steps: i) performance of a measurement procedure, in which a sensor of the grinding machine is used, to ascertain sampling values, enabling a statement about the concentricity error of the first workpiece in this re-chucking, at least for a part of the first flanks (5.1), which have been machined in the scope of the first single-indexing grinding procedure, ii) computer ascertainment of concentricity correction dimensions, iii) CNC-controlled performance of a second single-indexing grinding procedure using the second grinding tool (2.2), wherein all second tooth flanks (5.2) of the first workpiece are machined by grinding step-by-step in the scope of the second single-indexing grinding procedure, and wherein an adaptation of machining movements of the second single-indexing grinding procedure is performed on the basis of the concentricity correction dimensions. a) fastening the first grinding tool (2.1) on a tool spindle of a grinding machine, b) fastening a first workpiece on a workpiece spindle of the grinding machine, c) CNC-controlled performance of a first single-indexing grinding procedure using the first grinding tool (2.1), wherein all first tooth flanks (5.1) of the first workpiece are machined by grinding step-by-step in the scope of the first single-indexing grinding procedure, d) separating the first workpiece from the workpiece spindle, i) performance of a measurement procedure, in which a sensor of the grinding machine is used, to ascertain sampling values, enabling a statement about the concentricity error of the first workpiece in this re-chucking, at least for a part of the first flanks (5.1), which have been machined in the scope of the first single-indexing grinding procedure, ii) computer ascertainment of concentricity correction dimensions, iii) CNC-controlled performance of a second single-indexing grinding procedure using the second grinding tool (2.2), wherein all second tooth flanks (5.2) of the first workpiece are machined by grinding step-by-step in the scope of the second single-indexing grinding procedure, and wherein an adaptation of machining movements of the second single-indexing grinding procedure is performed on the basis of the concentricity correction dimensions.