Abstract
One of the main objectives of the research is to identify the contradictions and problems in improving the system of countering terrorism in the Republic of Kazakhstan. In order to solve these problems, a model for identifying threats and a conceptual model of the activities of the state and military administration bodies of the Republic of Kazakhstan on countering the threats of terrorism were developed in the research. In the developed conceptual model on the activities of the state and military administration bodies of the Republic of Kazakhstan on countering terrorism, responsibility for the state and ensuring many aspects of military security and countering terrorism should be not only on the state represented by law enforcement agencies, but also the civil society itself, not only law enforcement officials, but also the most active, authoritative citizens and their associations.