The private sector has influenced the public sector with techniques to meet the stakeholders needs, one of them has been the Quality Management System. In order to analyze how the operation of the public sector has improved with the help of Quality Management Systems, a literary review of articles in the Web of Science, Scopus and Proquest databases, and the regulatory repository of the Colombian Public Function Administrative Department was elaborated to identify the state of the art in the last 10 years. The findings suggest that management schemes such as quality can be used to meet the stakeholders needs of public organizations, facilitating the public sector organizations operation.