Purpose: To test a structural equations model that analyzes the effects from satisfaction and frustration of the basic psychological needs on motivation types and the same effects on engagement and disaffection in physical education class, and to validate invariance among gender groups. Method: The participants were 1,470 fifth- and sixth-grade students from elementary schools in the metropolitan area of Monterrey, Nuevo León, Mexico. Results: The model showed satisfactory data fit. The results underscore the importance of fulfilling basic psychological needs to generate both autonomous motivation and engagement, as well as to prevent amotivation and disaffection in the students, regardless of sex. Discussion/Conclusion: The findings were discussed and are deemed consistent with other studies, sustaining the idea of basic psychological needs universality as set forth by the self-determination theory.