University professors are exposed to high levels of stress as a result of the multiple activities involved in their profession. The objective of this research is to explain how a sequence of psychosocial variables directly and indirectly influences stress. Method: A non-probabilistic and non-clinical sample of 480 professors from different Ecuadorian universities was surveyed online, and participation was anonymous. Sequential Canonical Analysis was used (SEQCA). This paper examined the following multivariate sequence: (1) resilience; (2) psychological inflexibility; (3) loneliness; (4) life engagement; and (5) stress. The model also considered the indirect influences of work-related variables including occupation, work-hours, and likelihood of losing a job. Results: The overall SEQCA was statistically significant (p < 0.0001) and accounted for 36% of the variance. Conclusions: Psychosocial variables predict stress more than work-related variables. The results will provide information for designing effective stress prevention programs.