The article examines the current problems of legal and economic nature in resolving the acute social situation associated with negative trends in the global community: the demographic crisis, high mortality, deep social stratification of society, etc. The methodological basis of the study are universal, general scientific and particular scientific methods of cognition used by the legal science in the object-subject sphere of cognition of the general theory of law. In addition, a number of synthetic, integrative ways of research are used, which are part of the methodology of interdisciplinarity, relevant for modern socio-humanitarian science. The work proves that the traditional methodological approaches of economic and legal theories are less and less adequate to the new needs of the humanities and increasingly require them to combine their efforts in the knowledge of profound socio-economic problems. The main innovative tool for solving many social problems today is program-project management, which involves passing through a series of stages: analytical (the need for a problem-oriented analysis of situations; conceptualization (selection and justification of goals and objectives); instrumentalization (selection of effective means to achieve goals and objectives); specification of the scheme of activities in their implementation; budgeting of the project; identifying the criteria of effectiveness in the implementation of the project from the perspective of socially-oriented development of the economy, studied jointly by law and economics. The novelty of the work lies in the proof of the hypothesis formulating the need to justify such an independent direction of the Russian theory of legal policy as – legal economic policy, which confirms the feasibility of the cumulative view of the range of existing problems.