Universities must confront social challenges and prepare their students to be future socially responsible professionals. This research considers social responsibility in depth and examines how it can be promoted among university students. Specifically, it analyses whether prosocial behaviour and moral values are predictor variables, and to study whether moral values are a mediator variable between prosocial behaviour and university student social responsibility. Non-probabilistic convenience sampling was used in a Spanish university (N = 193; 115 females; M[subscript]age = 19). Three scales were applied: the University Student Social Responsibility scale, the Prosocial Tendencies Measures scale and the Importance of Personal and Professional Values scale. The results of the regression models showed that prosocial behaviour and moral values both contributed significantly to the model (F [subscript (2,196)] = 41.979; p < 0.001), predicting 30.2% of university student social responsibility. In the mediation model, total effects between the variables were observed, as was an indirect effect of prosocial behaviour on social responsibility mediated by moral values ([beta] = 0.07; t = 3.80; p < 0.001). This suggests that university programmes that seek to help the community and enable people to discover values will more effectively be able to develop social responsibility.