A cough and asthma are two different things. Yet people with asthma usually have difficulty breathing and often cough a lot. If you or your child is taking cough medicine regularly to suppress a cough, then the real problem could be something else. In fact, a persistent cough could be a sign of asthma. Even if you or your loved one is diagnosed with asthma, it is not the end of the world, because it can be controlled and you can live a normal, active life as millions of people who have asthma do.