The relationship between government and market is a significant issue in the field of public administrators. This essay, based upon the paradigm of administrative science, attempts to the development of relationship between government and market. Traditional public administration is trying to establish a "big government" which is founded on bureaucratism. However, this old paradigm is challenged by the new Public management that is trying to construct a "small government" founded on postbureaucratism. The author compared the experience of Taiwan to that of China within the framework of New Public Management This paper concludes that the reinventing reform won't be successful unless Taiwan or China government transforms its paradigm from Traditional Public Administration to New Public Managerialism.