The extradition is an international procedure, instituted on basis of a convention or an international agreement, by which a sovereign State called required State, accepts to deliver an individual being on its territory to another State or to an international repressive jurisdiction, applicant, to the ends of judiciary pursuits (judgment or execution of the pain). The extradition is a judiciary collaborative mechanism between the States to fight the cross-border criminality. It is demonstrated through the present study that the Congolese right doesn't ignore this mechanism because there are international or national legal rules on this matter exists. Of the exam of the legal instruments, it is demonstrated that the extradition in Congolese right obeys, like in other modern States, to the conditions of bottom and shape of which the non-observance would drive to the dismissal of the extradition demand. It was shown in this study that the extradition is of the Government's expertise that has the last decision, which decision escapes completely the jurisdictional control even the administrative one. However, none would ignore the intervention of the Congolese judge on the subject, which intervention appears by the exequatur of the judicial pieces that comes with the demand of extradition and possibly by the arrest of the person needed. Besides, the politicization of the Congolese judicial system does not permit other States to extradite toward the DRC in spite of demands formulated in good and due procedure. To allow the institution Extradition to assure its role fully, it is clear that the DR Congo proceeds to the reform of its extradition related to right while straightening its political and judiciary system on the one hand and while concluding conventions of extradition on the other hand in the under sub-regional and regional settings.