As a kind of the world's popular idea to response the crisis of ecological, economic and social development, low-carbon economy has made rapid propagate in China. But because of the restriction on technical and institutional innovation, low-carbon economic development is still facing market failure and government failure in China. The text introduces two concepts: political convergence and economic convergence, which invented by Anthony Giddens, and puts forward some transform measures for the government and enterprise behaviors to resolve market and government failure.