This paper deals with discourse based on two previous studies with newspaper texts that interpret not only the discourse process but also the political aspect concerning the linkage of language with history and ideology. Thus, it evaluates the theoretical-methodological principles and procedures of the French Discourse Analysis (DA), based on its use in the Social Sciences field, especially byPolitical Science. It shows that the connection between the social scientist and DA allows the awareness that it is not a field exclusive to Linguistics, but is formed by both Psychoanalysis and Marxism, with close relation to the Social Sciences. Guided by Althusser's analysis of Marx, it reviews concepts of ideology and subject as well as the relation that is established between them in the subjectivation process. The use of this methodology, which is also a theory, places the social scientist, during the process of understanding the studied object, up against theoretical-methodological challenges that may lead him/her to review this reflection based on his/her own education and disciplinary fields. [ABSTRACT FROM AUTHOR]