Inclusion Criteria:  Age 18 years or older Patient with previously diagnosed liver cirrhosis (Child-Pugh score grade A and B). Written informed consent  Exclusion Criteria:  Positive pregnancy test (only for women in childbearing age with intact uterus), pregnancy or nursing women Intake of prophylactic or therapeutic oral anticoagulant (phenprocoumon, acenocoumarol, dabigatran etc.) 2 weeks prior to inclusion in the study Application of parenteral anticoagulant, e.g. unfractionated heparin, low molecular weight heparins, heparin derivatives (fondaparinux etc.) 1 week prior to inclusion in the study Pharmacologic platelet inhibition within 2 weeks prior to inclusion in the study Known coagulation disorders (e.g. von Willebrand's disease, hemophilia) Active, clinically significant bleeding Congenital or acquired bleeding disorder High risk of bleeding (e.g. active ulcerative gastrointestinal disease) Uncontrolled severe hypertension Vascular retinopathy Acute infection Acute bacterial endocarditis Severe anemia (haemoglobin ≤100 g/L) Hereditary galactose intolerance, Lapp lactase deficiency, glucose-galactose malabsorption Severe liver dysfunction (Child-Pugh Score grade C) Hepatic encephalopathy ≥ grade 3 Severe renal impairment with a creatinine clearance (GFR) of <30 ml/min Known intolerance to the study medications rivaroxaban and/or apixaban Concomitant treatment with a strong CYP3A4 inhibitor (e.g., ketoconazole, itraconazole, lopinavir, ritonavir, indinavir). Concomitant treatment with a P-glycoprotein inhibitor and a weak or moderate CYP3A4 inhibitor (e.g., erythromycin, azithromycin, diltiazem, verapamil, quinidine, ranolazine, dronedarone, amiodarone, felodipine). Concomitant treatment with a P-glycoprotein inducer and a strong CYP3A4 inducer (e.g., carbamazepine, phenytoin, rifampicin). Wash-out period of less than two weeks prior to the application of study drug in case of prior treatment with a strong CYP3A4 inhibitor or a P-glycoprotein inhibitor and weak or moderate CYP3A4 inhibitor or with a P-glycoprotein inducer or strong CYP3A4 inducer.