The COVID-19 pandemic has affected the whole world at different levels without exception. Like several other life domains, university education has undergone mandatory changes affecting lives of millions of students and their families. Many universities have switched to distance education and closed the campuses leading several students to relocate to their family houses. Nevertheless, how family climate had impacted psychological well-being of university students has not been studied extensively. Accordingly, the main purpose of this research was to determine impacts of familial (i.e., family climate during outbreak) and cognitive factors (i.e., intolerance to uncertainty and perceived stress) on the psychological symptoms level of university students who have started to live with their family as a consequence of related lockdowns. For this purpose, we delivered an online survey battery and collected data from 281 university students. Correlational and multiple regression analyses were performed to inspect proposed relations. Obtained results indicated that a more negative family climate, greater perceived stress, and intolerance to uncertainty predicted increased psychological symptoms among university students who had relocated to their family houses. Yet, no significant association was found between psychological symptoms and distance education problems. Results were discussed in line with the related literature and possible intervention strategies.