Abstract: With the development of China's higher education from the mass stage to the universal one, the equity of higher education is facing some new problems, such as how to change from the equality of the quantity of educational opportunities to the equality of the quality of educational opportunities, how to change from the one-dimensional equity of the starting point to the multi-dimensional equity of "starting point-process-result". Based on the data of "Panel Study of Chinese University Students" in 2020, this paper analyzes the impact of social class differences on the equity of higher education under the background of the universal higher education by using linear regression and logistic regression. The results show that: social class status significantly affects the starting point fairness of higher education, and indirectly affects the process fairness and outcome fairness through the starting point fairness; the superposition effect of starting point inequality and process inequality aggravates the cumulative disadvantage of college students from disadvantaged groups in educational outcomes. It is proposed that the development of fair and quality education is the task and goal of China's higher education entering the universal stage and the construction of high-quality education system in the "14th five year plan" period. Therefore, the principle of equal emphasis should be adhered to on development and compensation, education policies formulated from the overall perspective of systematization and coordination, and attention paid to improving the return rate of vocational skills education.