EN
European Arrest Warrant is cleary one of the most important institutes within the criminal justice co-operation of the European Union´s organs. Its implementation significantly simplified way of surrender for the purpose of prosecuting, imprisonment or safety measures. When taking to the laws of the Member States and a long-term use of proved application problems related to it what in Slovak Republic led to an adoption of two laws on the European Arrest Warrant. Nevertheless, it can be concluded that without such an institute in those days of free movement of people, would be very difficult searching for those people, their transfer from a state to another state where a criminal prosecution or punishment is taking place.