Abstract: A pressed elongate cover profile made from a mixture of a fiber material and a binding material and having opposite end portions, a groove formed in one of said opposite end portions, a tongue on the other of said opposite end portions, a wall thickness which changes continuously from the one end portion to the other end portion, and a greater packing of an end portion with a greater wall thickness than that of the end portion with a smaller wall thickness, at least an outer surface of the cover profile which is visible after mounting of the cover profile, being lined with a firmly attached protective layer, and a method of and an apparatus for manufacturing such a cover profile.