In Colombia, public management requires a managerial transformation that facilitates the State to implement policies focused on improving the quality of life of citizens. The lack of techniques for management integration in public entities drives the research that leads to the design of a methodology for integration management. With a mixed approach and a sequential exploratory scope, the existing correlation between the requirements of the technical standards ISO 9001: 2015 (QMS), ISO 14001: 2015 (EMS) and the normative models Decree 1072 of 2015 (OHSMS), MECI: 2014 (Internal Control Standard Model) and MIPG: 2012 (Planning and Management Integrated Model), obtaining as a result the correlation matrix, product of the bibliographic review and the critical reading of the technical standards and the normative models of the State. From this correlation matrix, descriptive contents were developed, taken as a basis for the construction of perception surveys, applying statistical methods that support the degree of correlation of the requirements through Spearman´s correlation coefficient and the reliability of the data through Cronbach’s alpha, thus validating the content of the matrix, which is a guiding reference for the integration of management systems in public entities.