Object of handling in this scientific paper are criminal offences of narcotics trafficking in the Republic of Kosovo. According to data included in this paper the trafficking of narcotics constitutes a concerning phenomenon. The concern about this type of criminality is linked to a relatively high degree of their presence in Kosovo society. The research shed light about the fact that Kosovo is an important link for international drug traffickers. All this, due to geographic position of country because of the fact that in Kosovo there are over 25,000 drug users, but likewise because of the fact that over last two decades there has been a trend of continuous growth of drug process cultivation. Criminal offences of narcotics trafficking manifest numerous individual, family and social... consequences. This criminal phenomenon is also damaging Kosovo's image in international terms. Kosovo is facing numerous challenges and problems in combating criminality, especially those related to narcotics. In this scientific paper has been indicated the Kosovo courts activities in combating criminal offences of narcotics trafficking as well as are given various ideas in terms of how it should be advances courts performance in combating this criminal phenomenon. For preparation of this scientific paper I have used legal, comparative, descriptive, survey and statistical methods.