Knowledge management and continuous improvement are key success factors that are applied in organizations independently; However, there is a significant relationship between the two, therefore organizations that seek to be leaders in their sector must analyze them together. Considering that universities have a leading role and must transcend the expectations of our society, I have considered it pertinent to carry out this article whose purpose is to establish the relationship between Knowledge Management and Continuous Improvement in a Private University from Lima, Peru. It has a quantitative approach because statistical analysis was used to test what was established in the hypotheses. The design is non-experimental, cross-sectional, since information is presented as it occurs in reality and in a given time, it is transectional, correlational, because it measures and evaluates the relationship between the variables. The sample is made up of 45 individuals between heads of areas and school coordinators, to whom a questionnaire with 32 questions was applied, whose data were processed in the statistical program SPSS version 25. Finally, the significant relationship between management of the knowledge and continuous improvement, obtaining a Spearman Rho, 0.730, at the 1% level of significance. Likewise, the findings affirm that the phases of creating, storing, applying and transferring knowledge also have a significant relationship with continuous improvement.