The authors analyzed the stages of creation, formation, development and modern activity of the Museum of Theater, Music and Cinema Arts of Ukraine, which is the only one in Ukraine in terms of its specialization. This museum has a history famous for its names and events. It is widely known in Ukraine and abroad for its permanent exhibitions and mobile exhibitions, created on unique exhibits from the history of theater, music, and cinema. Collected during its existence – since 1923 – a large and multifaceted collection of monuments from the history of the development of arts, which is constantly replenished with new materials, is the basis for scientific research, scientific advisory, expositional and exhibition work, a rich source for popularizing the achievements of the national theater, music and cinema. The article emphasizes that theater museums, film and music museums are an integral part of the development of world culture. They arose, developed and formed into a separate typological group of art museums. The uniqueness of each theater museum was determined by stationary expositions and temporary exhibitions, which were the main sphere of operation and a form of use and popularization of the processed funds. Reproducing the phenomena and events of the theatrical heritage, expositions and exhibitions visualized the most significant assets of both the past and modern theater and theater science in the language of museum exhibits. Research and analysis of the historical experience of exposition and exhibition activity of theater museums, film and music museums will be important for an objective assessment of the positive and negative consequences of the influence of national and cultural processes on their functioning and development. The challenges faced by theater museums, film museums and music museums in the course of their activities have common features and may vary depending on the specific situation and context. The article analyzes the typical problems and features that theater, film and music museums face in their activities. The article shows that these problems may differ for each specific theater museum depending on its size, financial resources, location and other factors. Their features may vary among theater, music, and film museums, depending on their resources, scale, and specialization. However, solutions to these challenges may include working with conservation professionals, attracting grants and sponsors, developing educational programs, and using new technologies to improve visitor audience engagement.