Brief Answer: Yes, blood pressure medicines do cause cough. Detailed Answer: Hello, Welcome to WWW.WWWW.WW Thanks for the question. Yes, the cough is most likely a result of the new medicine prescribed for controlling blood pressure. A certain class medicines called ACE inhibitors do generally cause cough at the initiation of therapy, however, the cough goes down after 2 to 4 weeks time, but if the cough doesn't subside by then or if it is very severe, then you should change the medicine. Sudden stopping is not good, there are other medicines available which do not cause cough, so please talk to your doctor for a change of medicines. Hope this answers your query. Wishing you good health. Regards.