In recent years, colleges and universities pay more and more attention to the improving and strengthening of the quality of education and teaching. The concept of “teaching and quality is the life of a university” has been put forward as the core idea of running a school. The priority has been given to the promotion of the teaching reform and the betterment of teaching quality in the reform and development of colleges and universities. While the construction of academic teams should be strengthened, more attention should also be paid to the exploration and practice of the construction of teaching teams. This paper analyzes the problems existing in the teaching of the School of Mechanical and Power Engineering of Chongqing University of Science and Technology and puts forward a plan for the construction of teaching teams and illustrates the pivotal function of teaching teams in the construction of quality engineering.