Acute-on-chronic liver failure (ACLF) is a syndrome of multi-organ failure in patients with liver cirrhosis triggered by acute insult(s), and it is characterized by a high risk of infection, systemic inflammation, multi-organ failure, and a high short-term mortality rate. However, there are differences in the definition of organ failure (OF) across major hepatology societies. In order to develop standardized OF criteria for patients with liver cirrhosis, an international panel of experts mainly from AASLD, EASL, and APASL developed new consensus statements on the diagnostic criteria for OF in liver cirrhosis, aiming to provide a basis for the diagnosis, prognostic evaluation, and clinical trials of ACLF. The consensus statements provide clear definitions for liver failure, infection and immune dysfunction, cerebral failure, renal failure, circulatory failure, respiratory failure, and gastrointestinal failure and systematically integrate the criteria for OF associated with liver cirrhosis for the first time, thereby establishing a core framework for research on ACLF mechanisms, standardization of clinical management, drug development, and assessment of priority for transplantation. Furthermore, the consensus statements identify the dynamic parameters that need to be validated in the future (such as the changes in bilirubin and lymphocyte-to-neutrophil ratio) and the novel biomarkers requiring further exploration. This article gives an excerpt of the core contents of the consensus statements.