Carbon-peak by 2030 and carbon-neutrality by 2060, is the major strategic decision for China’s sustainable development, and the specific initiatives for creating a community of shared future for mankind. With the carbon-neutral objective, carbon is the essential factor that changes the production function and consumer effect function. Change on theoretical hypothesis brings a series of new research problems for the development of economics and management, which are mainly in the fields of growth theory, carbon finance theory, market design, industry and public policy, enterprise strategy and business model innovation, and exchange rate system, etc. The in-depth study of these problems will promote the realization of carbon-neutrality, and bring the possibility on the innovation of economics and management theory and breakthrough of research paradigm. The ideological achievements will become an organic part of China's economic management theory that radiating the world.