Aceh is an area that is given special privileges in running the Islamic Shari'ah.It is interested to study considering the population of Aceh.It is not only Muslim but also non Muslim.Some of the parties consider implementation of Islamic law for non-Muslim residents feel worry because it is against human rights. With this background, the researcher is interested in studying " Authority of Nanggroe Aceh Darussalam Government to Protect Non Moslem in The Application Islamic Shari’a". The data of research are obtained by interviewing with Islamic Shari’ah Office, Customary Assemblies of Aceh Aceh Parlemen of Representatives, Wilayatul Hisbah Aceh, the Shar'iah Court and the Attorney General of Aceh