If this fear is all pervasive and interfering with your everyday life, it is worth seeing a mental health professional. Fear can be a symptom of a multitude of mental health problems, and can even be present in a mentally healthy individual.
If this problem has always been present, a mental health professional can guide you to better cope with it. New onset of such problems can also signify a possible mental illness, and can be managed with either therapy or medication.
Next Steps
Visit a psychiatrist for a detailed evaluation.