This is a blinded crossover study measuring the antihypertensive efficacy of nebivolol vs HCTZ in up to 34 subjects. Subjects with an apnea-hypopnea index (AHI) > 10 and hypertension can enter the study. Hypertension is defined as a systolic blood pressure (SBP) > 140 or a diastolic blood pressure (DBP) > 90 on the average of three seated blood pressure measurements or a history of medical therapy for hypertension. Subjects who have tried and abandoned continuous positive airway pressure (CPAP) therapy for sleep apnea are eligible for this study. All others will be advised that CPAP is preferred treatment for sleep apnea and are eligible only if they decline CPAP or use it for too short a time at night to be effective.