Entrepreneurship education (EE) is a crucial link to promoting college students’ entrepreneurship, which reduces unemployment, economic development, and poverty. Based on a sample of Chinese college students, this study uses a logistic model to investigate the effect of EE on entrepreneurial intention (EI). It focuses on evaluating the impact of EE on the EI of different groups of college students from the perspectives of gender, household registration, school type, and poverty status. Benchmark regression results show that EE has a significant positive impact on the EI of students. The heterogeneity analysis has the following findings. First, EE has a more significant impact on women’s EI, which can reduce the entrepreneurial gap between women and men. Second, EE is more effective in improving the EI of urban students, which will further widen the gap between urban and rural students in entrepreneurship. Third, EE has increased the EI of students from private universities, which represent application-oriented universities. This shows that public universities, which represent research-oriented universities, need to increase the training of talent in practical applications to narrow the gap with private universities in entrepreneurship. Fourth, after receiving EE, the EI of nonpoor students improved more than that of poor students. Equal EE increases the gap between poor and nonpoor students, which can easily lead to an intergenerational cycle of poverty in entrepreneurship. This study provides empirical evidence from college students’ entrepreneurship in relatively underdeveloped western China, which supports the development of EE and entrepreneurial activities.