Beer potomania is a condition characterized by severe hyponatremia in chronic alcoholics with poor nutritional intake. When complicated by acute kidney injury (AKI), it presents a significant management challenge. We report a case of a 32-year-old male with a history of alcoholism who presented with malaise, nausea, and vomiting. Laboratory tests revealed severe hyponatremia (serum sodium 104 mEq/L) and AKI. Conventional treatment approaches posed risks of overcorrection and osmotic demyelination syndrome (ODS). We implemented continuous kidney replacement therapy (CKRT) with meticulously adjusted dialysate sodium concentrations. This approach enabled gradual, controlled correction of serum sodium without precipitating ODS. The patient was successfully liberated from hemodialysis on the twelfth day of illness. Our findings highlight the potential of CKRT as an effective treatment modality for severe hyponatremia in beer potomania with AKI, offering a means of gradual sodium correction while addressing renal dysfunction. This case underscores the importance of tailored management strategies in complex clinical scenarios involving electrolyte imbalances and kidney injury.