The purpose of this study was to investigate to what extent the fourth year English majored students at Tay Nguyen University are able to understand English conversational implicatures. The subjects of this study were 50 fourth-year students of the Faculty of Foreign Languages Studies at Tay Nguyen University. They were asked to do the questionnaire about their opinions about the importance of understanding conversational implicatures and their understanding of the basis of the interpretation of conversational implicatures as well. Also, they were required to do the multiple-choice English conversational implicature exercise. The result shows that most of students recognized the importance of understanding conversational implicature. In addition, the students could know factors that we need to interpret conversational implicatures. However, the result also reveals that the students did not have enough understanding of conversational implicatures in English. Also, the results show that cultural knowledge could affect the students’ ability to understand English conversational implicatures.