Existing standards for project, program and portfolio management are based on the individual competencies of individuals, teams, managers and organizations based on their creativity. One of the areas of such creativity is the creation of a morphological environment for project activities, against which modern methods of solving optimization design and management problems can be applied. The aim of the work was to increase the effectiveness of project planning and project product quality through the development and implementation of project management dynamic morphological models based on dynamic morphological models of individual competencies. To achieve this aim, the following tasks were solved: to develop dynamic models of competent structuring, which take into account the elements of the three groups of Eye competences and their origin and development in time of project and program management; to perform stratification of dynamic elements of competencies by level of mathematical abstraction, physical essence and functional affiliation; practical tests of the study results with the assessment of their technical and economic benefits before known methods. The proposed morphological models, which are based on the allocation (stratification) of the project space structural components individual competencies in all directions of the latter discretization: individual projects, programs and project portfolios, functional areas of the project activity that can vary significantly depending on the mentality the respective state, sphere of competence (people, practice, prospects), etc. As a result of aim-setting and planning of the project activity, the Protomodel appears as the beginning of the latter, the first edition of the dynamic multidimensional morphological model. With the beginning of the project activity there is a Big Bang Protomodel, which in the future leads to its dynamic expansion. Simultaneously with the development of the main project for waterfall technology, there may be a need for an additional subproject that has its own prototype and after its Big Bang further develops, for example, according to one of the well-known flexible AGILE technologies of PM. The individual competencies stratification (on the level of mathematical abstraction, physical essence and functional belonging) is executed. The morphological models and methods of management of project activity processes have been constructed. Examples of morphological models and methods of project activity management are presented and their adequacy is confirmed. Practical tests of the results of the research with the assessment of their social benefits through known methods have been carried out