Pressing issues of forensic support of activities of pre-trial investigation and inquiry bodies in countering criminal offenses are outlined.
 The concept and essence of crime counteraction are considered. The article analyzes the national criminal procedural legislation, departmental regulatory legal framework and their amendments concerning the direction under study, genesis of scientific findings on theoretical and applied issues of forensic support of the activities of pre-trial investigation and inquiry bodies in this direction, as well as the genesis of the concept and essence of forensic science as a science.
 The modern state of the development of forensic science, current high-priority issues and feasibility of changing the scientific paradigm of forensic science as well as the use of innovations are studied; ways for their improvement are proposed. Theoretical and applied problematic issues of criminalistics are subject to thorough study and resolution. Fundamental changes are required both in criminalistics in general and in particular in its individual areas. The current legislation, law enforcement agencies, forensic science institutions, prosecutors’ bodies and judicial bodies, as well as law enforcement, in which modern advances in science and technology (in particular, computer and telecommunication technologies) are being implemented should be reformed. The article highlights such problematic issues as the improvement of the forensic characteristics of cer-tain types of crimes, forensic techniques combining forensic techniques and tac-tics. The issue of further implementation in law enforcement and forensic expert activities of promising molecular genetic examinations for pre-trial investigation bodies, including the method of DNA analysis is outlined separately and fully.
 Relying on the results of research, specific author proposals and recommenda-tions are provided on the studied area of activity in general and in individual directions.