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, comprising the following work steps: a) providing a flat steel product, at least one surface of which has an arithmetic mean roughness Ra of less than 2.5 μm; b) cold rolling of the flat steel product in a plurality of rolling passes, - wherein the overall forming rate achieved through the cold rolling is 75 - 90 %; - wherein the forming rate drops from rolling pass to rolling pass; - wherein the rolling pressure in the first rolling pass is 200 - 800 MPa and the rolling pressure in the final rolling pass is 1,000 - 4,000 MPa; - wherein the cold rolling takes place with the addition of rolling oil, the viscosity of which is 5 - 10 mm 2 /s at 40 °c; - wherein the rolling speed during the cold rolling is greater than 200 m/min; - wherein the cold rolling at least in the final rolling pass takes place with a work roll the circumferential surface of which in contact with the stock has an arithmetic mean roughness Ra of less than 0.01 μm; c) annealing of the cold-rolled flat steel product obtained under a protective gas atmosphere with a hydrogen content of more than 50 vol.%; and d) dry re-rolling of the annealed flat steel product with a degree of re-rolling of 0.5 - 2 %; e) optionally subsequent to the re-rolling coating the flat steel product in the re-rolled state with a reflective coating. a) providing a flat steel product, at least one surface of which has an arithmetic mean roughness Ra of less than 2.5 μm; b) cold rolling of the flat steel product in a plurality of rolling passes, - wherein the overall forming rate achieved through the cold rolling is 75 - 90 %; - wherein the forming rate drops from rolling pass to rolling pass; - wherein the rolling pressure in the first rolling pass is 200 - 800 MPa and the rolling pressure in the final rolling pass is 1,000 - 4,000 MPa; - wherein the cold rolling takes place with the addition of rolling oil, the viscosity of which is 5 - 10 mm 2 /s at 40 °c; - wherein the rolling speed during the cold rolling is greater than 200 m/min; - wherein the cold rolling at least in the final rolling pass takes place with a work roll the circumferential surface of which in contact with the stock has an arithmetic mean roughness Ra of less than 0.01 μm; - wherein the overall forming rate achieved through the cold rolling is 75 - 90 %; - wherein the forming rate drops from rolling pass to rolling pass; - wherein the rolling pressure in the first rolling pass is 200 - 800 MPa and the rolling pressure in the final rolling pass is 1,000 - 4,000 MPa; - wherein the cold rolling takes place with the addition of rolling oil, the viscosity of which is 5 - 10 mm 2 /s at 40 °c; - wherein the rolling speed during the cold rolling is greater than 200 m/min; - wherein the cold rolling at least in the final rolling pass takes place with a work roll the circumferential surface of which in contact with the stock has an arithmetic mean roughness Ra of less than 0.01 μm; c) annealing of the cold-rolled flat steel product obtained under a protective gas atmosphere with a hydrogen content of more than 50 vol.%; and d) dry re-rolling of the annealed flat steel product with a degree of re-rolling of 0.5 - 2 %; e) optionally subsequent to the re-rolling coating the flat steel product in the re-rolled state with a reflective coating.