This study aimed to investigate the prevalence and sociodemographic characteristics of smokers in a private medical university in Malaysia and to examine whether there is an association between personality traits and various smoking types. There were 468 participants in this study and the mean age was 20.97 years (±2.743). The prevalence of conventical cigarette users, e-cigarette users, and water pipe users was 4.7%, 6.4%, and 4.0%, respectively. Parents’ annual income (p = 0.001) and ethnicity (p < 0.001) were significantly associated with the current smoker group. Binary logistic regression modelling revealed that study participants with either Malay (OR 4.23, 95% CI 1.73, 10.34) or Chinese (OR 4.16, 95% CI 1.98, 8.73) ethnicity were approximately four times more likely to use tobacco products compared with study participants with Indian and Other ethnicities. Lower parents’ annual income was almost four times more likely to be associated with smoking behaviour (OR 3.82, 95% CI 1.58, 9.27). Significant differences in mean personality traits score of Openness (p = 0.018) and Extraversion (p = 0.004) were observed between never-smoker and current smoker study participants. In addition, cigarette users scored higher in Conscientiousness personality traits compared with non-cigarette whereas e-cigarette users and waterpipe users scored lower in Extraversion (p = 0.02). Post-hoc analysis revealed that the never-smoker group scored higher in Extraversion compared with the dual tobacco user group (p = 0.03). In addition, the single tobacco user group scored higher in Agreeableness personality trait compared with the never-smoker group (p = 0.01). Deeper understanding of the different cognitive dimensions, ethnicities, and educational backgrounds can potentially impact smoking prevention and cessation programs.