Abstract: A brake disc cover for a brake disc of a disc brake is provided, which is disposed on a component of a vehicle that is rotationally fixed during travel and which encloses at least one section of a circumferential edge of the brake disc preferably in a trough-like fashion. Two side wall areas are located on axial side sections of the brake disc to be covered that are directly opposite each other, wherein the side wall areas cover at least a partial area of the axial sides of the brake disc. A base wall area connects the side wall areas, which base wall area covers the circumferential edge of the brake disc. The side wall areas are oriented at an angle to each other such that the distance between the two side wall areas decreases radially from the inner circumferential edge of the brake disc cover. The brake disc cover has a surface contour that does not follow mathematical symmetry.