In this article the authors present the developed pedagogical model of universal competence development intercultural interaction of bachelors by means of fine arts. The development of this pedagogical model is the most important pedagogical task. This task requires an urgent solution. Since 2019, the Federal state educational standards of the new generation 3++ have been introduced into the educational process of Russian universities. This highlights the relevance of this study. The pedagogical model of universal competence of formation and development of intercultural interaction is an integral pedagogical system. It consists of the following complementary and interrelated clusters: system-forming, motivational-holistic, organizational content, diagnostic-effective. Each cluster is treated as a system that consists of certain Bullitts'. In this article the results of the effectiveness of the pedagogical model proposed by the authors and the need for its inclusion in the educational process of Russian and foreign universities are proved experimentally and presented in this article.