Background: Sufficient and restorative sleep is important to mental and physical wellbeing. The university education as an undergraduate is stressful and can have detrimental effects on the mental state of the students leading to poor sleep quality and stress, requiring use of coping strategies. This study is aimed to identify the prevalence and the correlation between sleep quality, stress and coping among university students.Methods: A cross sectional study was conducted in a University in Sri Lanka among 200 participants from five selected faculties. A self-administered questionnaire, Pittsburg Sleep Quality Index (PSQI), Depression Stress Anxiety Scale-21(DASS 21) and brief COPE inventory was administered using consecutive random sampling to the participants. The results were analyzed using SPSS 20.0 with one-way ANOVA and Pearson correlations.Results: 82.5% (n= 165) of subjects reported poor sleep quality. There was a positive strong correlation between sleep quality and stress (r=0.526, p=0.000). Among the poor sleepers, 57.6% (n= 95) were stressed. The stress was positively correlated with self-blame, planning, denial and emotional support in the COPE inventory. The correlation with quality of sleep with coping strategies was statistically significant. The highest mean of global PSQI score (10.33± 4.202) was observed among students from Law faculty with 95% experienced poor sleep quality. The highest correlation between sleep quality and stress among students from medical faculty (r= 0.614**, p= 0.000) while the highest percentage of students, 61.9% were stressed. Conclusions: The majority of university undergraduates were affected with poor quality of sleep and stress. The students use various coping strategies to cope with stress. There was a strong relationship between sleep quality, stress and coping. The sleep quality depended on stress as well coping strategies effected on sleep quality. This study highlights the importance of focused interventions on quality of sleep, stress and coping among university students.