The article analyzes the features of the new form of labor organization in the age of the digital economy. Strengths and weaknesses of the new approach are shown, and the requirements of how to develop new competences of employees are provided. Article performs the structure of functions of HR management and the trajectory of their development in the digital economy in the organization and management of personnel. Due to digitalization the necessity for updating the forms of work organization changed the areas of responsibility for personnel management which are covered in the paper. The article reveals a new approach to solving the problem of unemployment and immigration. Despite the planned unavoidable mass release of workers from positions, in whose places modern technologies are introduced -automation, robotization, platformization, artificial intelligence, the rationale for the need for manpower is explained. This approach reveals a new problem, which is associated with an acute shortage of highly qualified specialists who have completely new competencies, which are still few in the labor market.