In view of the relevant problems existing in the faculty of colleges and universities, in order to further analyze the deficiencies existing in the quality monitoring and index system of the faculty of colleges and universities. Based on the method and theory of fuzzy analytic hierarchy process, this study evaluates the quality monitoring results of university teachers, and researches the establishment of the index system of university teachers. The results show that k of different parameters increases slowly at first and then tends to be stable with the increase of iteration time. However, different parameters show different variation relations at higher iteration time. When k is 15, it can be used for targeted analysis of model index CR1. It can be seen from the weight analysis chart of quality monitoring of college teachers that the highest proportion is work pressure, while the lowest proportion is working environment. The research shows that the work pressure has the greatest influence on the quality monitoring analysis of college teachers. The construction diagram of the index system of college teachers shows that the fuzzy analytic hierarchy process can better reflect the quality system and index system of college teachers. Relevant research results can provide theoretical support for the application of fuzzy analytic hierarchy process in the research of college teachers.