Law and justice on the trace of Jacques Derrida investigates the approach of law and justice in the thought of Jacques Derrida. The objective is to verify how Derrida’s deconstructive thought understands the limits and the possibilities of a legal discourse that intends to do justice to absolute alterity. The paper explores traditional issues for legal thought, such as the difference between force and violence, the foundation and justification of authority, the delimitation and interpretation of law and the possibility of achieving justice. The experience of justice affirmed as aporia requires, in the negotiation of the impossible, infinite political responsibility for the decision that might change the legal system and renew its promise for justice.