Compound governance is one of the most important governance structures to solve problems of traditional administrative division within the framework of new regionalism and regional governance and highlights the use of governmental duty transfer and the civic social organization right acquirement to make up governmental failure and market failure. The analysis based on the supply of public products and duty transfer of service shows that the compound governance structure of public products and service provided by the cooperation of government and civic social organization can improve the quantity of public product and service supply and the welfare of social main body, that publicly inviting and submitting the bid is the most effective method of governmental duty transfer under compound governance framework, that the construction of compound governance structure demands the establishment of scientific and fair welfare distribution mechanism, that governments should consolidate the monitoring and examining civic social organizations, and that civic social organizations should enhance belief construction and actively boost government duty transfer and institution reform.