SUMMARY Extradition is the official process by which one nation or state requests and obtains from another nation or state the surrender of a suspected or convicted criminal. As between nations, extradition is regulated by treaties. As between states or other political subdivisions on a domestic level, extradition is more accurately known as rendition. The master thesis is a research of the concept of extradition in historical perspective, trying to overlook deeper the basics of this legal norm. The research of the concept of extradition in historical perspective, trying to overlook deeper the basics of this legal norm. The research is made by comparing the institute of extradition and institute of fugitives in the context of international law, other legal acts. Fundamental legal acts of extradition are thoroughly discussed in the master thesis. The author presents the analysis of conventions, bilateral, agreements, national laws of extradition, principle of reciprocity and moral human rights. The author presents opinions of various contemporary Lithuanian scientists such as V. Vadapalas, A. Nevera, A. Čepas, J. Žilinskas, G. Goda, M. Kazlauskas, P. Kuconis, G. Švedas, L. Visockienė. Also were used fundamental works about extradition by M. Akehurst, S. Bedi, G. Gilbert, H. Lauterpacht, I. A. Shearer, A. Boicov, R. Valejev, J. Vasiljev, B. Velčev, L. Galenskaja etc. International agreements, national criminal laws and laws of criminal procedure are also analyzed in the study... [to full text]