If you dream of someones death that is close to you, then such dream shows the fear of losing that particular person. The dream could also indicate the aspects of that certain person in your dream you do not like and wish he didnt have them. The death could also indicate the factors of some person you wish to implant in yourself, because you adore it so much. On the other hand, the dream could show the hate and antipathy you have to that person, therefore he is dead even in your waking life. If you dreamed of your own death, then it might show the different path of your life you are going to take. Perhaps you became wiser, smarter and more interested in new aspects of the life. On the other hand, the dream about your own death may show the features in your personality that no longer exists.
Read more about dreaming of Death in other dream meanings interpretations.