The purpose of this study is to establish a strategy for establishing and operating a public art museum to revitalize cultural welfare, and to provide basic data for establishing a basic plan necessary for establishing and operating a public art museum. A panel of 14 experts in the field of cultural welfare was selected, and a modified Delphi survey was conducted three times from July 1 to September 27, 2023. The collected data were analyzed for content validity ratio (CVR), mean, standard deviation, interquartile range, convergence, agreement, and coefficient of variation for each sub-element item. The factors and discussion points derived from the analysis results are as follows. First, in establishing the role and vision of public art museums, Local government must seek to strengthen local culture, promote citizen participation and foster creators, create cultural value, and seek to establish the art museum brand and identity. Second, when establishing a public art museum, the location should be selected to reflect citizen participation and needs, promote integrated artistic expression with the artistic value of the space and works, and be harmonious with the surrounding landscape and appropriately located in a place with historical significance. Third, in operating public art museums, efforts should be made to develop museum-specific content and research through continuous development of content that reflects local cultural characteristics, ensure efficient budget and operation, and provide citizens with opportunities to participate in cultural life for all generations and classes. Opportunities for participation must be strengthened, professional operation and independence must be guaranteed, and environmentally friendly and sustainable operations must be achieved. Fourth, in order to enjoy cultural rights and bridge cultural gaps, provide opportunities for the unique works of local artists to be exhibited, establish a support program for local artists to contribute to revitalizing the local art ecosystem, and promote the growth of the local community by realizing education through culture. In addition, through the integration of culture and education, we must build an art museum as a space open to all citizens and all cultures and take the lead in inclusive operation to realize the universality of culture by removing social barriers. Through this study, the policy implication was made to keep in mind that discussions between each group are the beginning of the establishment of a public art museum from the beginning of establishing a basic plan for the establishment of a public art museum, and the establishment and operation of a public art museum to revitalize cultural welfare through the 15 items derived from this study. It provides implications of the study, which provides basic data for the plan.