The purpose of this work is to show the development and evaluation of behavioural intentions of students by using mobile banking. The research goal is to explain determinants of students’ intentions towards the use of mobile banking. PLS SEM (partial least squares structural equation modeling) analysis was used for the model evaluation. The sample consists of 83 students from four higher education institutions operating in Bosnia and Herzegovina (B&H). Research results confirmed that subjective norm and attitude are significant predictors of the user’s attitude towards mobile banking acceptance, while the influence of self-efficacy was not determined. Attitudes related to mobile banking acceptance are primarily determined by perception of usefulness and self-efficacy, and to a lower degree by perception of privacy and security risk. Perception of mobile banking usefulness appeared to be the most significant predictor of attitudes, while simultaneously it influenced positively on acceptance of behavioral intention, including intervening effect of attitude variable. Digital literacy was proved to be a significant predictor for self-efficacy. From the perspective of banks, it is very important to see how a generation that a high potential for the use of modern technologies has perceives mobile banking, and what affects it to accept mobile banking. The results of this research are useful for banks to attract new younger users of mobile banking and increase their own benefits.