Abstract: The formation and development of the classical theory of "athlete cultivating general theory" are annalyzed by its historical premise, methodological basis and development status, and its disciplinary construction in China is further completed, based on the preparations for the Olympic Games. After summing up the contributions made by scholars from Russia, China and other countries, it is proposed that the "theory and method of athlete cultivating" should replace the "theory of competitive sports" as the name of the discipline. The core concept, target and basic principles of periodical theory in sports training founded by the famous Russian scholar Матвеев Л. П are also deseribed, and the causes of confusion are analyzed for the periodical theory in sports training in recent years. The essence of the criticism from the main questioner, Верхошанский Ю.В was explored; the realistic development route of the periodical theory was proposed. In terms of the preparation of Chinese athletes for the Olympic Games Tokyo 2020 and the 2022 Beijing Winter Olympic Games, it is proposed that the law of forming competitive peak state revealed by the theory of sports training should be followed to obtain the best performance.