Succession implies the act of succeeding or following, as of events, objects, places in a series. In the eyes of law however, it holds a different and particular meaning. It implies the transmission or passing of rights from one to another. In every system of law provision has to be made for a readjustment of things or goods on the death of the human beings who owned and enjoyed them. In the present paper I discuss and analyze the rules of inheritance that the Hindu Succession Act, 1956 prescribes for matters of succession when an individual (a Hindu male or female) dies without prescribing for how his/her property shall devolve upon his/her death i.e. rules of intestate succession.