One of the acute problems that have a significant impact on the effectiveness of criminal proceedings is the problem of unlawful influence on the witness and the victim. The disclosure and investigation of the aforementioned criminal offenses is increasingly accompanied by active opposition from interested persons who commit unlawful acts against the witness and the victim, accompanied by particular cruelty and cynicism. Bringing these persons to criminal responsibility is often hampered by the pressure exerted on the witness and the victim in the form of bribery and coercion to give false testimony. Revealing bribery and coercion of a witness and a victim to give false testimony for operational-search science and practice is a significant problem, the solution of which mainly involves the involvement of forces and means of operational units of the internal affairs bodies. It is quite logical that the study of crimes, carried out from the standpoint of the operational-search science, presupposes the formation of the operational-search characteristics of the considered category of crimes. The purpose of this study is a comprehensive scientific development of the main elements and the concept of operational-search characteristics of bribery and coercion of a witness and a victim to give false evidence. To achieve the intended goal, the author needs to solve the following tasks: to analyze the concept of the operational-search characteristics of crimes, to determine its main elements; to summarize and analyze the operational-investigative practice of bribery and coercion of a witness and a victim to give false testimony; analyze generalized data on the most typical operatively significant signs of a crime in the category under consideration. The study is based on the use of general scientific techniques and methods (logical-legal, systems approach, analysis, synthesis, etc.) and specific scientific methods (polling, questionnaires, content analysis of documents, interviewing, comparative analysis, etc.). The theoretical significance of the study lies in the fact that by studying the features of the operationalsearch characteristics of bribery and coercion of a witness and a victim to give false testimony, the author can make a certain contribution to the development of the theory of operational-search activity.