Over the years, the importance of good relationships to carry out healthy teamwork in our diverse land has become evident in the world. Putting on the table the importance of having suitable intercultural skills for the realization of these. In this framework, the purpose of the study was to know the level of intercultural competences of graduate students from a private university in Lima, from a non-experimental quantitative approach with a simple descriptive scope. The population was 1000 students and the samples were made up of 296 master's students. The instrument was a questionnaire of intercultural competences. It was found as results that 36.0% have very adequate intercultural competences and the predominant dimension was intercultural sensitivity, presenting a very adequate level of 83.0% with a predominance of (Wald = 16.842) compared to the other Intercultural Awareness dimensions with (Wald = 9.654) and rejecting the general hypothesis that proposed the intercultural ability which obtained (Wald = 7.432). Concluding that, from this study, strategies should be generated that strengthen the development of intercultural competences with emphasis on its most lacking indicators in master students because they are primarily responsible for guiding the training of future professionals in all areas.