Developing an approach to integrate religious legal traditions within modern universal values, as expressed through international human rights norms, is an important priority. The paper provides a study on Muslim Legal Traditions of Apostasy (MLTA) and the international human rights norms relevant to them. The study distinguishes among the three different phenomena of MLTA, which can be listed as conversion, heresy and sabb (blasphemy). While in practice these three concepts appear differently, for Muslim jurists the term irtidad (ridda) is generally used to describe the act of a convert, a blasphemer or a heretic. The study also makes a distinction between the public aspects of these traditions and their personal aspects. Public rules of MLTA include prohibition and punishment of the three different alleged offences, conversion, blasphemy and heresy, along with the civil consequences of these offences, such as confiscation of the property of the offender. With regard to personal aspects of MLTA, it should be noted that, whether the punishment is imposed on an apostate or not, the act of apostasy automatically leads to some family law consequences, such as dissolving the marriage of the apostate, and depriving him/her of the custody of his/her children.