The management and social problems caused by the psychological problems of international students have become more and more serious, and cross-cultural adaptation has a very important influence on the integration of international students into new environments and cultures, which has been increasingly concerned by the education circles at home and abroad. In this paper, we investigated the psychological adjustment ability and demographic characteristics of international students and analyzed the correlation between different factors and cross-cultural psychological adjustment ability based on the statistical results. After analyzing different groups of international students with different types of psychological adjustment abilities using the LPA method, a reasonable intervention plan is formulated. The mediation effect analysis method was also utilized to explore the impact and mechanism of interventions on psychological adaptation. The study’s results indicate that metacognition and cross-cultural psychological adjustment have a high correlation coefficient (0.773), which suggests that this factor can have a significant impact on the psychological adjustment of international students. It was also found that the intercultural psychological adjustment interventions for international students positively and significantly affected the intercultural psychological adjustment ability (B=0.085, P=0.032), indicating that the intervention program can improve the intercultural psychological adjustment ability of international students through psychological capital. This study provides a reference for the later targeted construction of intervention strategies to improve international students’ cross-cultural psychological adjustment and also paves the way for future studies to specifically analyze the mechanisms of international students’ cross-cultural psychological adjustment.