"Double First-Class"is an important national strategy implemented by colleges in China,which is of great significance to the cultivation and development of innovative ability of graduate students in colleges.This paper reviews the development process of graduate education of grass science and the formation process of the discipline system of grass science,analyzes the problems existing in the cultivation of innovative ability of grass science graduate students,and on this basis,makes some tentative discussions and suggestions on its teaching reform.It is pointed out that insisting on setting up core courses under the framework of grass science discipline system is the fundamental condition for the cultivation of postgraduates'creative thinking.Strengthening the depth and breadth of professional basic courses is the primary task for graduate students to cultivate creative thinking,strengthening participation in scientific research projects is an effective means to improve graduate students'creative thinking,strengthening the international level of postgraduate training is an important way to improve postgraduates'creative thinking,and improving the construction of innovative postgraduate evaluation system is an important guarantee for postgraduates'innovative ability cultivation and other teaching reform suggestions.