Abstract: Economic growth is slowing, upgrading the industrial structure, increasing conversion power, shifting government's concept, etc, these are the characteristics of the new normal in our country in the new stage, and also are the development direction of the new normal. Under the new normal economic to promote China's economic and social sustainable and healthy development, we must comprehensively promote the construction of socialist country under the rule of law, establish the rule of law system which adapt with Chinese characteristics'socialist market economy, promote the transformation of government functions, establish and improve the anti-corrosion system and anti-corruption system, establish a clean efficient integrity of the government under the rule of law, maintain the market order of fair competition, protect the ecological environment, construct the beautiful China ect, from the rule of law provides the system scheme.