Today in the context of globalization, English, as a universal language, has a stronger and stronger spark of cultural collision with other countries, and the cultivation of students’ intercultural communicative competence is particularly important. Through the theoretical analysis of the dilemma of English classroom teaching, it leads to the current problems in the cultivation of students’ intercultural communicative competence. In this regard, this paper designs a computer-assisted English teaching model based on intercultural communication from six different dimensions. In order to test the actual performance of the teaching model, independent samples t-test was used to analyze the differences. After the experiment, there are significant differences between the control group and the experimental group in the three dimensions of voice intonation, free dialog, and looking at pictures and speaking (P<0.05), which means that compared with the traditional teaching mode, the teaching mode of this paper is more favorable to the cultivation of students' intercultural communication skills.