A method for grinding a gear toothing, in which a target value with a tolerance range is defined for the tooth width. The method includes: a) measuring the location of the surface of the tooth flanks of the gear at least two axial positions offset in the direction of the axis of rotation; b) determining the actually present allowance of the gear based on the measured values determined in step a); c) grinding the toothing by radial infeed of the grinding tool relative to the toothing, c1) wherein the radial infeed corresponds to the target value of the tooth width, if the determination under step b) indicated that such an allowance is present on all tooth flanks that material will be removed from all tooth flanks, or c2) wherein the radial infeed takes place at a value higher than the target value of the tooth width, the higher value still corresponding to the tolerance range for the tooth width, if the determination under step b) indicated that such an allowance is present on all tooth flanks that material will be removed from all tooth flanks only with increased radial infeed.