This article focuses on Public Higher Education Management. It provides an analysis of an initiative of the Federal University of Amazonas to increase the quality of graduate program offerings. The paper assesses the proposed Program to Support and Consolidation the Advancement of the Quality of Graduate Study at the Federal University of Amazonas – PACPG/UFAM. The said Program, in general, establishes the goal of achieving the academic excellence of graduate study at UFAM. The article deals with the conception of Higher Education and of the administration of this federal sphere of public education as a catalyst for an institutional culture whose results are rich in academic effectiveness and efficiency.