Cyber power is playing a more and more important role in international relations. The Sino-US cyberspace game reflects by the dynamic cybersecurity behaviors, the hegemonic adherence to the applicability of the US cyber hegemony, and the discourse construction of both China and the US. Foucault’s discourse theory describes the certain system under historical conditions, which to be used in the big data era, the discourse construction is introduced into cyber power of countries. By the classification of interactive nature of games theory, the cyberspace game between players -- China and the US is dynamic, both cooperative and non-cooperative, and strategic macro. The cyberspace discourse power is a main factor in the Sino-US cyber game. The US constructed its cyber discourse by institutional methods, hegemonic status, and legitimacy influence. The technic barriers is one of the key factor using in the game with China. China’s strategic choice includes interfering more into global governance, constructing institutional voice, promoting globalization, and building international institutions.