Law, i dont know if its ok The Constitutional State of Law model appears as a new concept where the constitution has the dominant role as a supreme law, with a directly and binding normative force in all the legal order. There is plentiful doctrine which develops this model of state. In order to set out this paper, we have kept the features used by the author Luis Prieto Sanchís; despite we have included another’s authors of same the subject. So we have develop the features of these Constitutional State of Law model in function of the supremacy, directly application and binding normative force of the constitution, the judicial guarantee, the dense normative content and the constitutional rigidity. This new model of State of Law has also appears in Peru, where we have found that the mentioned features are being developing, so in this paper we presents some situations where we found the develop of the Constitutional State of Law model, according the features mentioned.