 METHODOLOGY: DESIGN: Prospective, multicenter, randomized study, of parallel groups and controlled with placebo, in patients diagnosed of systemic hypertension SH with an apnea-hypopnea index, by conventional polysomnography 15. A total of 340 patients with recently diagnosed of SH and without any pharmacological treatment will be studied. All patients will be randomized to receive, alternatively, CPAP treatment with optimal pressure titled with a proved system, or Sham-CPAP for 12 weeks. 