The right to property of a Hindu women in India is in state of transformation since pre independence to till date. It was initiated by the specific legislations in pre independence era, The Hindu Women’s Right to Property Act 1937, affirmed by The Hindu Succession Act 1956 , redefined through Hindu Succession Amendment Act 2005, and extended by verdicts of the higher Courts time to time. The changing dimensions of the society, changes the status of women in the family and the society too. In that reference some issues related to succession of the property of women are left unattended. For example, self- acquired property of a married and unmarried women dies intestate. In this paper author has attempted to point out the anomalies in the determination of heirs of a Hindu female under Hindu Succession Act. For that purpose details of the succession of Hindu female is described in the paper and also suggested amendments in law prevailing