A method for producing a flat steel product with high reflectivity, in which at least one surface has an arithmetic mean roughness Ra of less than 0.03 μm includes providing a flat steel product, at least one surface of which has an arithmetic mean roughness Ra of less than 2.5 μm. The flat steel product is cold rolled in a plurality of rolling passes. Also a flat steel product with high reflectivity in the finished re-rolled state on at least one of its surface has a low arithmetic mean roughness, a high gloss, and a high directed reflection. A solar concentrator is produced from such a flat steel product.