The invention provides a method for the centerless grinding of shaft parts (9), in particular of tubes for assembled camshafts, in the case of which the shaft part (9) which is to be ground, and has axial centering portions (11) on its end sides, is ground in rotatably driven fashion, in a manner which is customary in centerless grinding, in a gap between the grinding wheel (1) and regulating wheel (2). The grinding wheel (1) and regulating wheel (2) have a width which corresponds at least to the length of the shaft part (9). The shaft part (9) is ground in its end regions (28) first of all concentrically in relation to the centering portions (11), and this produces ground formations concentrically in relation to the centering portions (11). This is followed by the grinding of the intermediate region (29), which is located between the end regions (28), and then by the entire shaft part (9) being ground to size in a dimensionally accurate and dimensionally stable manner on the basis of the ground formations at the end regions (28) of the shaft part (9), said formations being made concentrically in relation to the centring portions (11) and resting on a support (16). In order to implement the method, the invention provides an appropriately dimensioned grinding-wheel and regulating-wheel pair (1, 2) in a centreless grinding machine, in the case of which regions of increased diameter, i.e. a respective profiling, are/is provided in the side regions of said machine in order to grind the end regions (28) of the shaft part (9).