We report a case of a 41-year-old man who was noted to have position-dependent Cheyne-Stokes respiration with central sleep apnea (CSA) during sleep. The patient had multiple cardiovascular risk factors and target organ damages, including a history of two myocardial infarctions, transient ischemic attack, and chronic kidney disease. His hypertension was refractory to a number of antihypertensive medicines, however, a complete elimination of sleep-disordered breathing with oral theophylline treatment was paralleled by a significant BP fall with a subsequent need for reduction of antihypertensive drugs. Following these surprising observations we decided to withdraw theophylline from treatment (in-clinic). Theophylline discontinuation resulted in a gradual increase in BP and an urgent call for antihypertensive treatment modification. These observations suggest a potent hypotensive action of oral theophylline via Cheyne-Stokes respiration with CSA elimination. Our data suggest that CSA may be a mechanism that raises BP even during the daytime.