Abstract: A roller bearing with roller elements constructed as rollers (4) or balls arranged between an inner race (3) and an outer race (5), and with a thick-walled outer ring (6) if provided. The inner surface of the outer ring forms the outer race (5) and the outer surface is provided for direct rolling on a cylindrical matching roller path, and has a crowned contour (7) curved in longitudinal section. In accordance with the invention, the spherical crowned contour (7) of the outer ring (6) is formed from several arcs that pass smooth into one another whereby the radius of curvature of a central arc and the radius of curvature of an outer arc have in a ratio from 2 to 1 up to 5 to 1 in relation to one another.