Abstract:In order to explore the phenomena , key points ,and evolutionary paths of college students' physical exercise be-haviors at various stages , through literature and document , interviews, logical thinking and other research methods , on thebasis of analyzing the influencing factors of college students' physical exercise behavior, and with the help of catastrophetheory and behavioral science theory,this paper has constructed a cusp catastrophe model of college students' physical ex-enise behavior.The studly finds that the development of college students' physical exercise habit is a phenomenon in whichinternal and external factors gradually accumulate over time and lead to a suden change in exercise behavior, where indi-vidual internal factors determine whether a sudden change in college students' physical exercise behavior development willoccur , and external environmental factors determine when college students' physical exercise habit development will occur.The control of intemal factors of college students promotes the development of their physical exercise habits more efficientlythan external environmental factors.In addition , the requirements for individual variables and environmental variables in thephysical exercise habits of college students from destruction to establishment are significantly higher than those from estab-lishment to destruction.