Abstract: The question of "What is sport?" is the core issue in the current research in philosophy of sport, on which the ontological meditation has formed the reconstruction of the thought and theory of sport philosophy embodied in the changing process between the ontological thinking mode and the construction of the ontological theory in general philosophy. As two basic ontological thinking modes, "Being" and "To be" are the logical development of the ontological thinking of sports philosophy. The former emphasizes the concept of ontology, while the latter emphasizes its structure. Both of them have formed their own ontological theory evolution in the history of Chinese and Western philosophy of sport. The Western analytical philosophy and the continental philosophy tradition respectively form the "game theory" and "body theory" on the ontological thinking on sport, while the Chinese traditional philosophy tries to mix the two ontological thinking modes to form the "purpose theory" and "humanism theory". Under the background of the integration of Chinese and Western philosophy, "anthropological historical ontology" integrates two ontological thinking modes of "Being" and "To be" into the generation process of human history and psychological structure, so as to reconstruct the ontological research on philosophy of sport and the exploration of the thinking mode of "question and answer", and establishes the human general knowledge in sports practice. Then, in the field of form, it steps across the gap lying between "meditation" and "speech" triggered by sports practice, and complete the reconsideration of sports philosophy theory and subject tasks.