The STF is considered a key element in the Brazilian institutional arrangement, because of the remarkable universe of themes submitted to its appreciation and for its willingness to interfere in relevant causes of the national political life. If the judicialization of politics seems to be a characteristic of the Brazilian constitutional arrangement, it is important to question about the obstacles for fundamental rights in order to constitute the main agenda of the Court. To answer that, we will explore the characteristics of the judicial review exercised by the STF, based on its normative conformation and the praxis of its activity. Thus, it is suggested the combination of institutional approaches with political dynamics. The objective is to analyze how the Court, based on its internal dynamics, can decide (or not) the issues, in view of a cooperative and dialogical dimension necessary for the exercise of a legal activity with undeniable political repercussions.