This article discusses the current problems of the fight against drug trafficking, which is one of the most dangerous types of crime. The authors raise important questions of international cooperation in this field. In considering this issue they provide the data on the level of drug-related crime in Kazakhstan and in the world. They point out the reasons that contributed to the spread of drug-related crime in the former Soviet Union. The authors present data on the history of cooperation between Kazakhstan and the European Union. Highlighting the role of cooperation between Kazakhstan and the European Union in the fight against drug trafficking in Central Asia, the authors present a  summary of the joint communiqué signed by representatives of the EU and the five Central Asian countries. They emphasize that the President of Kazakhstan considers the fight against drug trafficking as one of the main priorities of domestic and foreign policy of our country due to the geopolitical situation in the country. They provide practical viewpoint on developing partnerships between the European Union and Kazakhstan for the solution of international problems to combat drug trafficking. The authors propose to allocate an appropriate separate chapter in the Criminal Code of the Republic of Kazakhstan. Considering the point of view of Kazakh scientists, the authors emphasize the need for data standards in national legislation of Kazakhstan. And as a prove to their words they are considering that in being in the center of Eurasia, Kazakhstan, not bordering with the EU and other countries, gets drug smuggling. The authors give a point of view about how can penetrate through the border of Kazakhstan the drugs. People who use the drugs often commit crimes against the other person, including against health care workers who come into contact with them through medical instruments. In view of this, the authors propose to introduce compulsory professional insurance of the health care workers from this kind of risks.