The dissertation examines legal and constitutional viability of the special civil courts, those courts are ruled by the Law 9.099, of 26th of September 1995, may exercise jurisdiction in preventive causes of lower complexity, ie, jurisdiction intended to prevent threatened injury to right material will actually materialize or should be limited in order to exercise jurisdiction exclusively to repair or repression of injury to an already consummated substantive law. Examines whether the interpretation, which does not allow the exercise of jurisdiction in special courts preventive finds resonance in the Federal Constitution or admits the possibility of a court, be prevented from exercising preventive custody or be deprived of the power of general caution. This dissertation also analyzes the idea that in the prospect of jurisdiction be considered a fundamental right, the state court may relinquish power and duty to decide or decline to hear request for judicial review, especially that seeks to
prevent the threat subjective right of the injury will be consummated in the world of facts.