The globalization process promotes the rapid development of international Chinese language education, and the cross-cultural communicative competence of teaching personnel has become a key factor affecting the quality of teaching. This paper constructs a natural language processing-based assessment model of international Chinese teaching talents’ intercultural communicative competence. Methodologically, Python crawler technology is used to collect online comment data from Chinese university MOOC platform, and text mining is applied with LDA topic modeling to construct an evaluation system containing three primary indicators of language skills, cultural understanding, and communicative strategies and 10 secondary indicators. Then, the weights of the indicators are determined by the AHP-CRITIC game theory combination assignment method, and the evaluation model is established by combining the theory of mixtures elemental topable. The results show that listening comprehension has the highest weight of 0.145, cultural sensitivity has the highest weight of 0.163, and the dimension of communicative strategy has the highest importance among the three first-level indicators. Taking A international school as an example for empirical analysis, the overall correlation is -0.2751, and the assessment grade is “good”. The assessment model constructed in this paper takes subjective and objective factors into consideration, realizes the quantitative assessment of intercultural communicative competence, and provides a scientific basis for the cultivation of international Chinese teaching talents.