This paper develops a proposal for the combination of the Standard ISO 21500 Guidance on Project Management and the Project & Construction Management Systems, with emphasis in their integration with the PMBOK and the Lean Construction philosophy. The Project & Construction Management is studied from a global point of view, connecting, matching, supplementing, and/or combining the tools, techniques, and practices of the afore-mentioned management systems, applied to construction projects. Within this framework, the stakeholder participation is analyzed during the application of Integrated Project Delivery (IPD) and Target Value Design (TVD); as well as the sequences in which the processes, inputs, and outputs relate in time, originating variants in the effort for the achievement of optimum compatibility.