At present, with the popularization of higher education and acceleration of college students every year, colleges and universities are increasing scale. Expansion of the scale for colleges and universities on the one hand, broadens the scope for development, on the other hand it also brings many problems, including the issue of the quality of teaching which is particularly prominent. Owing to the problems existing in the previous system of teaching quality, based on the teaching characteristics, a new multivariate teaching quality evaluation model is set up by means of GM(1,N) theory. And the application processes of the model are illuminated in detail. The model is applied into the evaluation of teaching quality. By analyzing a lot of practical examples, the experiment result indicates that this mathematical model has better appraisal effect than other appraisal model, which can overcome the complexity of traditional evaluation model. Compared with other methods, this method is scientific, simple and operable. And its structure and method will have a bright future.