The article considers the issue of observance by the bodies of the National Police of Ukraine of human right to freedom from torture or inhuman treatment or punishment. The practice of the European Court of Human Rights testifies that Ukrainians are increasingly applying to the Court for violations of the prohibition of torture or inhuman treatment by the police. The authors noted that the responsibility of the bodies of the National Police of Ukraine to prevent violations of human rights to freedom from torture or inhuman treatment was enshrined both in national law and in international legal documents, especially in the Convention for the Protection of Human Rights and Fundamental Freedoms of 1950. The application of the provisions of the Convention, as well as the decisions of the European Court of Human Rights as an integral part of its law enforcement practice, will contribute to the development of the protection of human rights in Ukraine. Summarizing the practice of the European Court of Human Rights in relation to Ukraine regarding violations of Article 3 of the Convention, the authors of the research singled out certain requirements that are binding on the bodies of the National Police of Ukraine. The observance of national legislation, application of the provisions of the Convention for the Protection of Human Rights and Fundamental Freedoms and the practice of the European Court of Human Rights will contribute the increasing of the public trust and respect for the law enforcement agencies, including the National Police of Ukraine and improving the efficiency of the Ukrainian justice system.