In order to coexist in a multicultural society, it is important that not only Koreans but also multicultural families have multicultural competence. Among many concepts of multicultural competence, cultural intelligence, which is a comprehensive and educatable variable, serves as an important factor in a multicultural society. Cultural intelligence has been conceptualized by practical interests and necessities as the need to interact with people of ethnically or culturally divergent backgrounds has increased, along with the global economic system and the increasing diversity of management organizations. In this study, I studied cultural intelligence according to individual characteristics of multicultural family members participating in a social integration program. The results showed that the total level of their cultural intelligence was lower than that of multicultural language teachers or elementary teachers. There were differences in cultural intelligence according to personal characteristics such as age and the highest level of education. It was also found that the younger the age, or the higher the educational level, the higher the cultural intelligence was. There were differences in the sub-areas such as the status of visa and residential location. Based on the results of this study, directions for future research on cultural intelligence are presented.