Death is an inevitable stage of life. No matter how much you worry about it, how much you fear it, it will happen regardless. Why fear that which is inevitable? And it's one thing to fear the pain of dying, but the state of being dead is no more worth being afraid of than the act of being born.
It's okay to let that fear come, like any other thought, but you have to let it go as well because death is not present for us now. There is no past, nor is there a future, the only time that will ever exist for us is the present. Do you know how you will die? Doubtful. So it is ridiculous to fear something you don't even know how or when it will happen. There is no point in spending your present existence worrying about an existence that will never come to pass.
What is there in death to fear? If you fell asleep one night and never woke up... does the concept of being eternally asleep scare you? Perhaps you are different, but there is nothing terrifying about that to me, because there will be no "me" left to care one way or another.