Sepsis in children is still accompanied by high mortality, especially in developing countries, and the annual cost of treatment amounts to billions of dollars. Currently, various methods and combinations of extracorporeal blood purification depending on the characteristics of the clinical course of sepsis, its type and severity are being actively and successfully developed and put into practice. However, not all methods of extracorporeal hemocorrection in children and adults with regard to a particular critical situation have been fully studied. This literature review provides up-to-date data on extracorporeal methods of hemocorrection in children. Special attention is paid to innovative technologies in intensive care of acute renal injury induced by sepsis and methods of hemosorption of endotoxin and cytokines in adults and children.