University students occupy a significant position in the human science, especially the psychological and educational studies. University students, all over the world, gain a great deal of interest because they are the bases of the future. This research is considered a contribution in the human effort which examines the association between Social Media Addiction and Depression Indications among Sulaimani University students. It also testes the differences in the social media addiction and depression indications according to three variables: College specialty, gender and year stages. The research questionnaires were applied to (480) University students. Results indicated a significant positive relationship (r=0.22 p<0.01) between social media addiction and depression indications among university students. The results also revealed that students in humanity science colleges have high level of social media addiction compared to students in practical/natural science colleges, however; this difference was not the case for the depression indications. In addition, the results show a statistically significant difference between gender in depression indications, suggesting that female students have higher amount of depression indications than male students. Finally, the results demonstrated no significant differences between students in second and fourth stage concerning the research variable of interest. In the light of the present study, the researchers have come out with a number of recommendations and suggestions.