This article presents a descriptive study about learning assessment based in uni- versity context competences. In the context of University Higher Education, assessment is the main axis of the formative process and it has the vital junction in the teaching – learning process. It is constituted in the tool that allows us to assess the level of the students’ achieve- ments from the acquired learning in their formative process.Therefore, the current work proposes the theoretical fundament required for assessing the learning achievements competency-based in the University Higher Education context. The main objective of the article is to perform a bibliographic revision about the assessment of learning process based on competences. The applied methodology is based on the bibliographic review of specialized literature in higher education area. The database of the selected information is consulted in ERIC, REDINED, DIALNET and academic Google.