The invention relates to a method for the grinding of a profile (1) of a workpiece (2) with a gear or profile grinding machine (3), wherein the profile (1) which has to be ground is successively at first ground during a roughing operation with a roughing grinding tool (4) and is afterwards ground during a finishing operation with a finishing grinding tool (5), wherein a stock of the profile (1) which has to be removed is ground by the roughing and the finishing operation, wherein the roughing grinding tool (4) and the finishing grinding tool (5) are arranged coaxially on a common tool spindle (6) or on two separate tool spindles and wherein a translational movement is created between the grinding tools (4, 5) and the workpiece (2) in a direction of a first axis (x) for carrying out a grinding stroke. To improve the cost effectiveness and the quality of the grinding process the invention is characterized in that the at least one tool spindle (6) or the workpiece (2) is swiveled around an axis (A) of rotation which is directed in the direction of the first axis (x) by a predetermined angle (α) during the execution of the roughing operation or the finishing operation from a basic position (I) into a swivel position (II) in such a way that the grinding tool (5) which is not in operation can be passed over the profile (1) to be machined without collision.