A brief historical overview of the stages of development of outpatient surgery and anesthesiology is provided. It displays features of pre-selection and evaluation of patients for pediatric ambulatory surgery, the relation to the problems of preoperative fasting, anesthesia with concomitant diseases, the relative and absolute contraindications to outpatient surgeries in children. The research discusses the need and form of administration of sedative drugs in premedication in children of different ages, their influence on the recovery time after anesthesia. Compares methods of induction and maintenance of anesthesia, the possible use of volatile and intravenous anesthetics in ambulatory surgery in children, the advantages and disadvantages of given methods, as well as options for their combination with regional blocks. Pays attention to the postoperative analgesia and control of postoperative nausea and vomiting, consider their side effects.