Abstract: The Finite Element Method (FEM) is one of the basic classes for undergraduate teaching in mechanics. For the undergraduate who major is aeronautics or astronautics, especially, the FEM is a necessary tool in scientific research and engineering practice in the future. By analyzing the course’s features, roles, goals and some problems existing in the teaching at present, this article gives some suggestions on teaching reform in course system, course content, teaching methods and assessment methods etc. The purpose is cultivating students’ interest and ability to innovate. All that will make one learn and master the FEM more comprehensively and profoundly.