Agile project management is an iterative approach that allows you to plan and guide project processes that require special speed and flexibility to achieve project success. It is for this reason that today professionals must master the basic concepts of this work as disciplinary or professionalizing competence. The objective of the study lies mainly in compiling recent research, including the last three years, in relation to Agile Software Project Management, its current situation and its application in practice. The study shows the implementation of the methodology proposed by Kitchenham for the systematic literature review (RSL) analyzing 40 scientific publications, concluding that the agile management of software projects allows efficient and effective management with the application of a standard o priority methodology and with the unavoidable use of software tools of specific use for it.