Process for centerless grinding of shaft parts, in particular for tubes for assembled camshafts, wherein the shaft part (9) that is to be ground, having axial centering devices (11) on its front faces is ground in a rotatingly driven fashion in a space between a grinding wheel (1) and a regulating wheel (2), wherein the grinding wheel (1) and the regulating wheel each have a width that at least corresponds to the length of the shaft part (9) and wherein the end regions (28) of the shaft part (9) are first ground at regions formed concentrically to the centering devices, which is followed by the grinding of the intermediate region (29) lying between the end regions (29), then followed by a dimension and shape preserving grinding of the entire shaft part (9) to the finished size on the basis of grinding at the end regions (28) of the shaft part (9) lying on a support rail performed concentrically with the centering devices (11).