University pedagogy is an emerging discipline, continually producing debates and research concerned with quality in higher education. The university teacher plays a central role in the transmission of knowledge and the development of students disciplinary and transversal skills. What about his training in pedagogy? This article is a reflection on this problem related to the act of teaching at the university, It summarises the importance of university pedagogical training for future university teachers and teachers in practice in order to ensure quality teaching that meets national and global requirements and the current and future needs of society.