Abstract: The invention provides a reliably manufacturable flat steel product based on a Fe3Al alloy and a method that allows the production of such flat steel products. For this purpose, the flat steel product is made of a steel which comprises (in % by weight) Al: 12-20%, Ti: 0.2-2%, B: 0.1-0.6%, in each case at least one element from the group “Cr, C, Mn, Si, Nb, Ta, W, Zr, V, Mo, Ni, Cu, Ca, rare earth metals, and Co” unavoidable impurities. The method according to the invention specifies that a molten steel with the stated composition is cast as a precursor in the form of a slab, thin slab or a cast strip, the precursor is then hot rolled into a hot strip.