In Islamic criminal law there are no institutions the general part, in that connection, it shared the list of circumstances that exclude the criminality of an Act, not developed. In Islamic criminal law, such circumstances, according to the analysis of some of his sources are not reaching the age of responsibility, a State of insanity, mislead, commit a crime under duress, self-defense, urgency, as well as remorse. The article is devoted to the characterization of the circumstances excluding criminal liability under the criminal law of the Muslim countries professing the Anglo-Saxon system of law. Main purpose is to form an idea of the role the circumstances excluding criminal liability under the criminal law of the Muslim countries professing the Anglo-Saxon legal system in modern conditions based on foreign legal literature, and an analysis of the criminal law. The hallmark of Muslim law is a priority of the religious laws of Islam, which govern all aspects of the life of Muslims. The question of the role of the circumstances excluding criminal liability under the criminal law of the Muslim countries professing the Anglo-Saxon legal system in modern conditions is covered in Islamic law with the aim of precise qualification of perfect a criminal offence, with a view to establishing the legality of the Act. © The Authors, published by EDP Sciences, 2019.