Personality traits are relatively stable and may influence various aspects of human behavior. Trait emotional intelligence (Trait EI) presents the non-cognitive element of intelligence. Trait EI also enables individuals to deal with different stressors of life. Thus, understanding the relationship between personality traits and Trait EI can be beneficial. The current study explores the role of the big five personality factors in influencing Trait EI. The study included three hundred and twenty university students from a multidisciplinary Indian university. They were administered the Trait EI questionnaire-short form (TEIQue-SF) and the big five inventory (BFI-44). A cross-sectional design with non-probability sampling was used for the current study. Findings of the study show that the big five have a significant relationship with global Trait EI, as the big five traits contributed to a 42.7% variance in predicting global Trait EI. Neuroticism was the foremost predictor of global Trait EI. Concerning Trait EI factors, neuroticism, and conscientiousness contributed to all except emotionality. All big five traits except agreeableness influenced well-being and sociability. Neuroticism and conscientiousness predicted self-control. However, agreeableness and extraversion predicted emotionality. There is a close association between personality traits and Trait EI. However, the relationship is incremental as the big five traits jointly influence the global Trait EI more than individually on the four factors. The study's findings may enable psychologists, counselors, and other mental health professionals to develop training programs for college students to enhance emotional stability and the ability to deal with stress.