The objective of this study is to draw attention to the marginalized status of children from multicultural families in society and to discuss the necessity of providing them with culture and art education based on Sociologist Pierre Bourdieu's cultural capital theory. The study initially investigates the relationship between culture and art education and cultural capital theory, exploring the importance of culture and art education in terms of capital. Secondly, the study examines the consequences of culture and art education and cultural capital for children of multicultural families. The research method was to analyze the current support policies for cultural and artistic education for children of multicultural families implemented by relevant ministries. The main policies were classified as designated and public, and the advantages and disadvantages of the two types were analyzed. As a result of the analysis, it was found that although cultural and artistic education can have an important significance in overcoming social marginalization through the accumulation of cultural capital for children of multicultural families, the support policies for them are concentrated in some areas or are one-time and unsystematic due to public participation projects. Second, the policies supported by related organizations categorized them as marginalized. This means that they can only minimally deal with cultural marginalization through education for their children, and it is difficult to lead to the continuous accumulation of cultural capital through professional and continuous culture and art education. Based on these findings, this study would like to make the following suggestions. First, it is necessary for institutions supporting culture and art education to specify children of multicultural families and to establish support system. Second, there should be programs that indigenous and children of multicultural families can share. Same activities both objects engage in can provide opportunities to overcome discrimination awareness of each other and to be in unity. Third, cultural and art education should be extended to parents of multicultural families.