As a required course of civil engineering major, material mechanics course is one of the basic mechanics courses of the whole course system, and its importance is self-evident. This paper analyzes the Chongqing university and Taiwan Chung Hsing university majoring in civil engineering material mechanics course and differences between the two aspects of teaching and learning are in by comparing the two universities teaching contents and teaching methods, complement each other, and constantly improve the interior quality of civil engineering material mechanics teaching, realize the balanced development, strengthen students" ability training, promote the reform of education. As a necessary foundation for a civil engineering student to deeply understand the professional field, the course of material mechanics is very important in the undergraduate teaching stage of civil engineering. Therefore, it is imperative to explore teaching mode and improve teaching quality for civil engineering teaching. By analyzing the teaching differences between the two universities, this paper studies the excellent teaching experience and teaching methods of other universities, selects the essence and gets rid of the dross, so as to further develop the teaching work of civil engineering major.