Our aim is to assess the smoking cessation and vaping cessation activity, including quit attempts and willingness to quit among university students in Central and Eastern Europe, as well as to investigate personal characteristics associated with smoking cessation and vaping cessation attempts. Data were collected by questionnaire which included 46 questions on cigarette and e-cigarette use. Questionnaires were obtained from 14,352 university students (aged 20.9 ± 2.4 years; cooperation rate of 72.2%). For the purposes of this analysis, only data from exclusive cigarette smokers (n = 1716), exclusive e-cigarette users (n = 129), and dual users (216) were included. Of all cigarette smokers, 51.6% had previously tried to quit smoking and 51.5% declared a willingness to quit cigarette smoking in the near future. Among all e-cigarette users only 13.9% had ever tried to quit using the e-cigarette and 25.2% declared a willingness to give up using e-cigarette in the near future. The majority of the group did not use pharmacotherapy to quit cigarette (87.5%) or e-cigarette (88.9%) use. Our results indicate that while most university students have some desire to quit conventional smoking, those who use e-cigarettes do not have the same desire.