Serving as an important position for the country to cultivate and train teachers at all levels, normal universities and colleges are an important part of the higher education system in China. The construction of "world-class universities and disciplines" has ushered in drastic reform in the field of higher education, which makes normal universities and colleges face opportunities and challenges in the same time. Normal universities and colleges should seize the favorable opportunity, give full play to the ontological function of teachers' education in normal schools, draw support from "Double First-Class" and boost "Double First-Class". In order to win the advantage in the "Double First-Class" competition finally, normal universities and colleges should make a clear orientation, maintain the nature of normal schools, strengthen the construction of ethics, perfect the education curriculum system and cultivate qualified teachers who could adapt to the development of the times.