Whether the theory of western “the fourth power” and “the fourth grade”, or the theory of “the third kind of power” of Marx and Engels and China’s public opinions supervision, is extended for a long time as a political power, all above can not change the fact that supervision by public opinion is essentially right supervision. Being treated as power supervision is a symbol for supervision by public opinion. By using laws to confirm the rights of the supervision by public opinions, the supervision by public opinions in western countries and in China has realized the standard returning of power supervision, however, in the institutional design of anticorruption, the power attribute of public opinion supervision is highlighted and requires the transformation of the reports for public opinion supervision in response. The transformation is mainly reflected in three aspects. Firstly, we should push forward the abutment between supervision by public opinion and power supervision, which is consisted of the abutment of public opinion supervision’s clue and power supervision’s information, the abutment of public opinion supervision’s selected topics and power supervision’s agenda, and the abutment of public opinion supervision’s report and power supervision’s view. Secondly, power supervision protecting public opinion supervision becomes normal, including the improving of institutional guarantee for public opinion supervision, the construction of fault tolerance mechanism of public opinion supervision, and the confirmation of judgment authority of public opinion supervision. Thirdly, the cooperative mode innovation in the construction of the cooperative force of the supervision includes the integration of power supervision into public opinion supervision and vice versa.