Abstract: Legitimacy is an important issue in political science research. Time order provides a basic reference for the constructive logic of policy legitimacy as well as produces structural constraints in the actual structural process of policy legitimacy. With the expansion of the algorithm governance landscape in the era of artificial intelligence, artificial intelligence algorithm power, as a new form of technical power, has realistic possibilities for breaking the time constraints of policy legitimacy and optimizing policy legitimacy, which forms the time concept compressed, the constraints of time rules deconstructed, and the modes of time strategy reconstructed separately. Entering the era of artificial intelligence, under data empowerment, the power of algorithms even highlights the practical value of the policy legitimacy of its optimization. While making full use of the technical advantages of algorithmic power, we should also carefully avoid the risk of technological offside and promote the deep integration of technological progress, legitimacy and political civilization.