Competitive sports is a kind of professional sports, which treats sports as a tool to test one's limits and transcend oneself. While humanistic sports is a kind of movement means , which regards sports as a tool to improve the life quality and work efficiency. There is a close relationship between them. First , this paper analyzes the association between humanistic sports' development and school sports. It analyzes the development of modern competitive sports and the development goals of competitive sports after the Beijing Olympic Games. The author constructed mathematical model to analyze the coupling relationship between competitive sports and humanistic sports' development, which provides a new path and exploration direction for sports development research to make scientific decision analysis.