Analytical reports of leading martial arts analysts indicate that today there is a positive trend in increasing the popularization of single combat among veteran athletes, especially Sambo wrestling. It is necessary to highlight that according to its essential and substantive characteristics (internal philosophy), Sambo wrestling is a living matter that has absorbed the best techniques of modern martial arts, and which is in a constant process of transformation in accordance with the requirements and realities of today. Taking into account the above, it is appropriate to summarize that the scientific and methodical (technical) support of the key components of the professional activity of veteran athletes who specialize in Sambo wrestling (other martial arts) acquires a dominant role. According to the results of the analysis of scientific and methodological and special literature, it was established that complex studies that reveal the peculiarities of the organization of the system of long-term training of sportsmen-veterans who specialize in Sambo wrestling are rare. In the process of research and analytical work, we used the following methods: axiomatic, idealization, historical and logical, descent from the concrete, formalization. As a result of a theoretical study, the members of the research group developed a program for improving the Sambo fighting technique of veteran athletes with an emphasis on the use of the video computer system "Katsumoto" (at the stage of direct preparation for the main competitions). Prospects for further research in the chosen direction of scientific research include conducting a pedagogical experiment to test the effectiveness of our proposed experimental program for improving the technical skills of veteran Sambo wrestlers with an emphasis on the use of modern technical training tools.