The introduction of performance evaluation in the educational management of colleges and universities is conducive to the formation of result-oriented concepts and management methods of student educational management. In this paper, we select the indicators of educational management conditions, processes and results to design the performance evaluation index system of educational management. Using the hierarchical analysis method, the eigenvectors and maximum eigenvalues are calculated to determine the weights of each index element of the index system. Then apply the gray correlation method to evaluate the educational management performance of the five universities by calculating, one by one, the absolute difference between each indicator sequence (comparative sequence) and the corresponding element of the reference sequence of the object to be evaluated after the data are dimensionless. The analysis found that, according to the formula for calculating the degree of correlation between the actual level of educational management performance and the ideal educational management performance situation, the comprehensive correlation degree of each sample of colleges and universities in the five stages is Z = (0.3333, 0.3951, 0.4600, 0.5031, 0.5946, 1.0000), and the rankings of colleges and universities in terms of the performance of educational management from the highest to the lowest are Academy 4, Academy 2, Academy 5, Academy 3, Academy 1. HEI 3 and HEI 1 should reflect on the shortcomings, enhance the digital construction of teaching informationization, deepen the collaboration between schools and enterprises, and improve the performance of educational management of colleges and universities.