Cheyne-Stokes respiration (CSR) is a form of central sleep-disordered breathing (SDB) in which there are cyclical fluctuations in breathing that lead to periods of central apneas/hypopnea, which alternate with periods of hyperpnea. The crescendo-decrescendo pattern of respiration in CSR is a compensation for the changing levels of blood oxygen and carbon dioxide. Severe congestive heart failure seems to be the most important risk factor for the development of CSR. A number of pathophysiologic changes, such as sleep disruption, arousals, hypoxemia-reoxygenation, hypercapnia/hypocapnia, and changes in intrathoracic pressure have harmful effects on the cardiovascular system, and the presence of CSR is associated with increased mortality and morbidity in subjects with variable degrees of heart failure. The management of CSR involves optimal control of underlying heart failure, oxygen therapy, and positive airway pressure support. In this review, we initially define and describe the epidemiology of central sleep apnea (CSA) and CSR, its pathogenesis, clinical presentation, diagnostic methods, and then discuss the recent developments in the management in patients with heart failure.