In a method of producing a factor-VIII(AHF)-high-concentrate having a specific activity of at least 2.5 units AHF and a fibrinogen content of less than 0.25 mg/mg protein from human or animal plasma, the plasma is subjected to a multi-step fractionation. The fraction purified by these fractionation measures and enriched in factor VIII (AHF) is subjected to a cryoalcohol precipitation and the resulting precipitate is processed into a stable form.