The aim of this study is to predict academic success based on the motivational class climate, mediated by the university students’ motivation. The participants are 758 university students from the Dominican Republic, aged between 18 and 50 years (21.1% men and 78.9% women). A battery of instruments wa administered to measure the indicated variables and a full structural equations model was applied to predict academic success. The results highlight the direct effect of student perceptions of autonomy support on their satisfaction with the educational center, and the effect of satisfying basic psychological needs, both on satisfaction with the center and on academic performance. Perceiving the support of teachers for autonomous work and feeling satisfied the basic needs for autonomy, competence and relatedness are the best predictors, among the ones tested, of academic success in university students.