The present invention relates to a polymerizable composition and to a method for coating metal surfaces, in particular steel, galvanized and alloy-galvanized steel, and also aluminum and alloys thereof, as protection against corrosion. The polymerizable composition preferably contains less than 10% by weight of portions which are not incorporated in the cured coating. In a further aspect, the invention relates to the use of the claimed composition for coating workpieces consisting of the above-mentioned metals, particularly metal surfaces in blanking lines (coil coating). The present invention therefore also comprises the use of metal surfaces, coated according to the invention, for the production of “white goods” (household appliances), automobile bodies, electronic component housings, and for the building trade and the transport sector.