Obstructive sleep apnoea syndrome (OSAS) is a frequent sleep disorder that is known to be an independent risk factor for arterial hypertension (AHT). Potential confounding factors associated with both OSAS and AHT, such as age, diabetes mellitus and obesity, have been explored extensively, and are considered as independent but additive factors. However, these factors are also contributors to left ventricular (LV) hypertrophy (LVH) and LV diastolic dysfunction, both of which are important causes of cardiovascular morbidity, and have been reported to be associated with OSAS for decades. In this review, we present an overview of how OSAS may promote changes in LV geometry and diastolic dysfunction through its best-known cardiovascular complication, arterial hypertension. We also summarize the epidemiological links between OSAS and LVH, outline diastolic dysfunction in OSAS patients, and try to highlight the mechanisms responsible, focusing on the effect of confounding factors.