The invention pertains to a blood coagulation factor replacement product for use in the treatment or prophylaxis of bleedings of patients having an acquired coagulation factor deficiency or for use in the treatment or prophylaxis of bleedings of patients having a congenital deficiency of a coagulation factor. Said product comprises at least isolated prothrombin (Factor II) and isolated Antithrombin III (ATIII), whereby the molar ratio between ATIII to Factor II is at least 1 : 30. By administration of said product the patient's risk for a thromboembolic complication is reduced.