Contemporary approaches to the quality management in a forensic organization as well as the problems of the quality assurance system organization are analyzed. The main aspects requiring close monitoring from the Head of a forensic organization when making the policy of standardization and quality management system are considered. The conceptual approaches to quality issues enunciated in the international series of standards ISO/IEC 9000-2015 and ISO/IEC 17025:2017 together with the scope for their applicability to the forensic organizations are analyzed. Particular attention is paid to the problems arising when designing and implementing quality management systems, their causes are revealed and some recommendations are given including those based on the foreign experience on enhancing management efficiency.