This paper proposes a methodological approach to the study of discourses in the hybrid media system (Chadwick, 2013). The hybrid media system is defined as a new type of system in which traditional and emerging media are assembled, changed and flow gradually to create new forms. One form of hybridization is the relationship between social networks and television, in which both media model and build each other. Various studies (Gruber, 2017; Vaccari et al., 2016) have demonstrated the importance of the study of hybrid media system to explore the construction of meanings in new media contexts, especially in political contexts. This study is part of a qualitative paradigm that incorporates the principles of critical discourse analysis for the analysis of semiotic resources used in 30,000 tweets with hashtags of five Chilean political television programs broadcast during 2016, which promote online public debate and participation. Based on the analysis of online texts and television programs, it was established that the argumentative strategies and resources used constituted an expansion of the televised political debate and a space for interaction of social network users with traditional media. The decision to directly involve these users in television programs has implications for the understanding of the symbolic limits of the policy. The inclusion of new actors has the potential to model the quality of debate and argumentation in the digitally mediated public sphere.