Personal information competition is mainly manifested as competition in the process and the result of digitization of personal information, which then evolves into data race, not to mention that many monopoly problems are caused by data barriers, so personal information competition should be included in the scope of anti-monopoly governance. The anti-monopoly governance of personal information competition shall first clarify the personal information in the field of competition, and confirm the multi-attribute of property rights and its attribution, so as to clarify the scope and boundaries under the anti-trust laws. In the result competition after the digitization of personal information forms data assets, a non-price competition analysis paradigm centered on personal information protection shall be constructed, using the level of personal information protection as an element of market force identification, competition damage assessment, and consumer welfare analysis, and comprehensively analyzing the competitive impact of monopolistic behavior. In the process competition of obtaining personal information resources as the goal-oriented, the principle of necessary facilities can be applied to balance the protection of data rights and the transaction of personal information, the conditions for data as a necessary facility and the scope of free access to data should be clarified, in order to achieve data openness and sharing.