With the rapid development of the Internet, the network has become an important part of the study, work, and life of all teachers and students in colleges and universities. It also brings great challenges to the traditional way of ideological and political education in colleges and universities. Colleges and universities have launched various beneficial attempts in the ideological and political education into the network. In this context, in order to improve the evaluation accuracy of ideological and political classroom teaching quality in colleges and universities, this paper puts forward an evaluation method of ideological and political classroom teaching quality in colleges and universities based on DA-CNN. On the basis of constructing the evaluation index system of ideological and political classroom teaching quality in colleges and universities by analytic hierarchy process, the scores of 25 evaluation indexes affecting the ideological and political teaching quality in colleges and universities are taken as the input of DA-CNN, and the comprehensive score of ideological and political teaching quality in colleges and universities is taken as the output of DA-CNN. At the same time, an innovative ideological and political education management system based on convolutional neural network is designed and developed, and the functional modules and database of the system are planned.