A device for fastening a roll to the frame construction in a paper machine, paper finishing machine, or equivalent, wherein the ends of the roll are provided with bearings. The bearing housings of the bearings, or fastening bases formed onto the bearing housings, are mounted against a back-up face formed on the frame construction so as to position the roll in its place on the machine frame. On the machine frame, fastening members are arranged to be displaceable in a direction substantially perpendicular to and against the back-up face formed on the frame construction and include flange portions, i.e., shoulders or equivalent formed pieces. Correspondingly, the bearing housings, or fastening bases arranged thereon, are provided with grooves corresponding to the shape of the flange portions of the fastening members. When the roll is installed in its place, the flange portions pass into the grooves in the bearing housings. Then, the fastening members tighten the bearing housings or the fastening bases, respectively, forcibly against the back-up faces on the frame construction.