This study focuses on how minorities are stigmatized in the French media. It limits itself to the case of the proposal of the denaturalization law and the consequent discourse about it. The subject is introduced through a short background on the law and its relevance to the possible racist nature of the debate, followed by some background on racism in France, an overview of the theory on new racism and how it can explain stigmatizating discourses. Critical Discourse Analysis is used as the method to uncover said discourses as it is a method related to the in-depth analysis of implicit dominant ideologies and power-structures. The study analyzes twenty articles from two French newspapers in order to determine how stigmatizing discourses are expressed. The results in the discussion show recurrent racist narratives that systematically denigrate and stereotype Muslims and immigrants. They also show a pattern of the dominant culture negating space to minorities.