As a result of COVID-19 pandemic, people from all sectors of the country particularly Bangladeshi students have been suffered a lot. Academic performance, everyday activities and regular daily life of students were hindered mostly when student’s mental health was significantly influenced by home quarantine, physical distance and other negative circumstances. This online cross-sectional survey was conducted with 489 university students to assess the social and mental health impact of COVID-19 among university students in Bangladesh where chi-square test was used to find out the relationship between social & mental health indicators and educational institutions. This study explored that most of the students spent their time during pandemic by using social media (Facebook) (36.5%), an alarming portion (47.6%) of students (girls) were forced by their family stop studying to get married. In addition, students (28.5%) engaged quarrels with their family and parents as well as students (14.6%) involve in smoking during COVID-19 pandemic. Along with these, during COVID-19 pandemic students suffer from frustration (90%), indecision problem (64.8%), mental stress (42.5%), loneliness (72.7%), mood swing (75.5%) and even students (18%) tried to commit suicide at that time. Most of the students acquired the bad habit of over sleeping (71.3%), over thinking (76.9%) and 74.9% lost their interest from their preferred work also. The results reflected that COVID-19 pandemic has strong negative social and mental health impacts on the university students. So government and academic institutions must prioritize providing students with high-quality care in order to meet their needs both academically and personally.