The invention relates to a steel product, in particular a flat steel product, with a metallic anticorrosive coating of aluminium alloy and also to a method for producing such a steel product. In order that such a steel product has a great media resistance, in particular a great resistance to acid and corrosion, the steel product is immersed in a molten coating bath containing an aluminium alloy which, apart from Al and unavoidable impurities, according to the invention comprises the following elements: Mn 0.2 - 2% by weight and/or Mg 0.2 - 7% by weight, Fe 0.5 - 5% by weight as an obligatory element, Ti 0.05 - 0.4% by weight and/or Zr 0.05 - 0.4% by weight. The method according to the invention is characterized by the following steps: providing a steel product, in particular a flat steel product, in a hot-rolled or cold-rolled state, activating the surface of the steel product so as to remove passive oxides from the surface of the steel product, and coating the surface-activated steel product by immersion in a molten coating bath containing an aluminium alloy of the composition specified above.