The first-class level of education teaching management is the basic guarantee of improving the quality of talent training in colleges and universities, and it is also an important part of the full implementation of the "double first-class" strategy. The development goals of "double first-class" construction not only put forward "demand-side" request for universities' current discipline construction and talent cultivation, but also put forward higher standards for the "supply-side" management and service. Teaching management staff plays an important and positive role in teaching organization, teaching guarantee, teacher-student communication, and service level improvement. Teaching management staff also bears the important mission of outstanding innovative talents training, servicing for discipline construction, and university culture construction. This article analyzed the problems existing in universities' current teaching management team construction and ability promotion and put forward countermeasures and suggestions, to do good to the "double first-class" construction.