The article highlights the importance of the risk management for the success of projects and organizations, respectively. The risk impacts the project through project complexity, technological uncertainty, product novelty, cadence, or progress tracking. So the risk management of project is the important key element of modern project management methodologies, being important tools for success project planning and control. We consider that the risk management is the set of processes that ensure the identification, evaluation and react to the risks that have arisen that, systemically, ensure the expected progress of the project. The contemporary evolution of the business environment increases the level of uncertainty of companies, but also of their internal processes, especially of the internal and external environment of projects. Amplifying business risks is determined by high levels of innovation, new technology, commercial arrangements, interfaces, or other external dependencies. In this increasingly dynamic organizational context, there is an orientation of projects from predictable to incremental ones. In the same way, the reduction and share of risks takes place through the increasingly intense involvement of stakeholders, including their participation in the project teams. The analysis of the evolution of the content of the project risk management is presented by the comparative-evolutionary analysis of this topic in more advanced editions of Project Management Body of Knowledge and other methodologies, which are known and used internationally. The analysis of processes in project risk management has allowed the generalization of some ways of improvement of this domain.