This study aims to analyze the relationship between technological acceptance and addiction to social networks in university students from the city of Arequipa, Peru. The population consisted of students from the second cycle of 46 professional schools of the National University of San Agustín de Arequipa. For the selection, an incidental non-probabilistic procedure was used, considering the student assistants when applying the instrument. After applying the instrument and processing it, 13 questionnaires were refined when evidencing errors in their filling, finally leaving 2470 students as a sample. The instruments applied were the Technological Acceptance Model, designed by Yong, and the Escurra y Salas Social Network Addiction Questionnaire. The results show a direct and low relationship between technological acceptance and addiction to social networks since the Pearson correlation is .211, the effect size is 0.4593, and the statistical power is 0.997. It is concluded that there is a very weak type of correlation; however, the effect size is large, and the statistical power is very high.