The main task of the government to supervise market is to prohibit main bodies of market from malfeasant competition and monopolistic action and to maintain the normal order for market competition. This paper discusses the ranges, contents, classifications of government powers on carrying out its law supervision to market. In order to apply “Oppose Malfeasant Competition Law of the People's Republic of China” and fully carry on “Oppose Monopolization Law of the People's Republic of China”, the paper also puts forward some considerations and struct...