The objective of this study is to analyze the level of instrumental, personal and systemic transversal competences of teachers and university students in Spain. We start with an investigation with a descriptivecorrelation design. The methodology is quantitative, using descriptive (percentages, frequencies) and inferential analyzes (contingency tables and χ2) in relation to the analyzed competences. A sample of 712 participants (509 students and 138 teachers) was taken from eight Spanish faculties. The results obtained show that the competency profile of the university teacher stands out in 13 of the 24 competences analyzed, and the student reaches higher values in 11 of the 24. The Differences are found according to gender and university faculty. We conclude that the Spanish university professors are is creative and, autonomous and have the ability to face and solve problems through teamwork using emotional intelligence. They are concerned with attention to diversity, ethics, quality and the environment. Students, on the other hand, demonstrate initiative, leadership and an entrepreneurial spirit and have the ability to work in international contexts, speak other languages, organize and plan, and manage information and ICT to communicate effectively and make successful decisions.