Many countries in the world have recognized the need for construction of the 'Science of Science, Technology and Innovation Policy', and many efforts have been underway to pursue the evidence-based or informed policy-making. This paper examines how we proceed further, not merely to develop the "Science of Science and Technology Innovation Policy" as a science, but also to evolve the policy-making process, by utilizing the research results in the actual policymaking. This firstly reviews the current situation of political commitments, research grants and formation of relevant research and policy communities, in the United States, Europe, and Japan. Secondly, this illustrates the research agendas for the science, by over viewing the relevant policy issues and research areas. Lastly, this discusses the necessity for building up the system for utilization of evidence in policy-making process, in addition to policy-issue based collection of research and its comprehensive evaluation.