The reform of article 1 of the Political Constitution of the Mexican United States in June 2011, has incorporated into the constitutional text the clause of interpretation according to international treaties on human rights as the hermeneutic criteria which domestic judges must adopt in their verdicts. This clause reflects an evolutionary tendency which the Constitutional States are adopting, generating a new understanding of the state function as a whole, especially of the judiciary function. Despite this aperture, which enables the application of this type of hermeneutic techniques, it is possible to see how in some jurisprudential criteria a restraining posture is adopted towards international regulatory contents in human rights, leaving aside the possibility of an interpretative process of harmonization