A method for grinding bevel gears (1), wherein a first grinding tool (2) is used during a first method section and a second grinding tool is used during a second method section. A measurement system (30) is used to carry out a measuring procedure, in which sampling values can be ascertained for at least a part of first flanks of the bevel gear workpiece (1), which enable a statement about the concentricity error of this bevel gear workpiece (1) in the present chucking. Concentricity correction dimensions are ascertained by computer on the basis of the sampling values, and an adaptation of machining movements of the second method section is performed on the basis of the concentricity correction dimensions.