The provision of anaesthesia for individuals receiving chronic dialysis can be challenging. Sedation and anaesthesia are frequently managed by critical care clinicians in the intensive care unit or operating room. This narrative review summarizes the important principles of sedation and anaesthesia for individuals on long-term dialysis, with reference to the best available evidence. Topics covered include the pharmacology of anaesthetic agents, the impacts of patient characteristics upon the pre-anaesthetic assessment and critical illness, and the fundamentals of dialysis access procedures.