Currently, the teaching of physical education and health courses in colleges and universities only focuses on whether students have completed physical exercise, but not on the cultivation of students’ physical education core literacy. This paper establishes a coherent teaching framework of “learning-practice-evaluation” for physical education and health courses from the theory of multiple intelligences and the core literacy elements of physical education, aiming to effectively enhance the core literacy of students in colleges and universities. The study was conducted within the scope of University A in Province G. A questionnaire was used to obtain the data related to students’ physical education and health, and a multiple regression model with parameter estimation by the weighted least squares method was used to analyze the role of physical education and health courses in promoting the core literacy of physical education and health. Structural equation modeling was also used to conduct exploratory factor analysis and validation factor analysis of students’ physical education core literacy. It was found that for every 1 percentage point increase in the teaching level of physical education and health courses in colleges and universities, the students’ physical education core literacy would increase by 1.347 percentage points. The path coefficient between students’ factors and physical education discipline factors is 0.853, and the X2/DF of the model is 1.696.Physical education teachers must adopt diversified teaching design under the goal point of core literacy to stimulate students’ interest in physical education learning and exercise consciousness, promote students’ active participation in physical education activities, and enhance students’ core literacy in physical education.