Sleep-disordered breathing, and particularly the highly prevalent obstructive sleep apnea syndrome, is a multicomponent disorder combining intermittent hypoxia (IH), sleep fragmentation, and obstructed respiratory efforts. It is frequently associated with comorbidities and leads to numerous complications, including cardiovascular consequences that are conditioned by genetic predisposition and environment. The complexity of the disease and the reduced possibilities for patient investigations, especially at the tissue level, have limited progress in the understanding of sleep apnea pathophysiology and in the development of specific treatments. Animal models make it possible to study the causative mechanisms (essentially upper airway dysfunction) and the consequences (cardiovascular, metabolic, and neurological alterations) of nocturnal respiratory events without the confounding factors that occur in humans. Such studies have revealed some of the pathophysiological mechanisms and enabled the recognition of IH as the most important sleep apnea component underlying cardiovascular complications. We review different animal models used to assess detrimental sleep apnea-related cardiovascular consequences: blood pressure elevation, impaired vasoreactivity, structural arterial remodeling leading to atherosclerosis, cardiac remodeling, and myocardial infarction. We also review experimental evidence of beneficial effects of IH. By combining clinical and experimental research, these models will contribute to the understanding of differential patient susceptibility and to the elaboration of prevention strategies and tailored treatments for sleep apnea patients.