The authors consider topical problems pertaining to the performance of forensic medical expertise of the subjects suspected or accused of committing a crime and remaining in custody. The discussion is focused on the organization of expertise and medical examination of such persons with the participation of personnel representing different clinical disciplines. The special emphasis is laid on the absence in the normative-legal basis of the well-specified criteria for the severity of disease, the degree of vital activity limitation, and duration of the treatment in specialized hospitals. The lack of such criteria hampers not only medical certification of the subjects suspected or accused of committing a crime and remaining in custody but also objective forensic medical estimation of their health status. Recommendations for addressing this problem and its resolution are proposed.