The European Arrest Warrant is one of the main interventions to the traditional suverenity of the national regulations which break and restrict so historical things as the principle of noncitizens to another state, principle of reciprocity or dual criminality principle. The European Arrest Warrant is still the young institute of the criminal law, but after some first embarrassments is the full institute of criminal law and it is used by courts all levels. Every state wants to fight against the criminality and has to cooperate with other state if it could be stated as democratic state.