This article focuses on the issue of the two main thoughts of Mohist School (墨家)-"All-loving"(兼愛)and "Virtue-respect"(尚賢), which were respectively adopted by Daoist School(道家)and Confucian School (儒家) in the Chinese Warring period. It is found that Daoist School criticized "Virtue-respect" but not "All-loving" and, on the contrary, Confucian School criticized only "All-loving" but not "Virtue-respect". This observation provides an understanding about the fact that the Daoists accepted the thought of "All-loving", and the Confucianists accepted the thought of "Virtue-respect". It is also noticed that the thoughts of both Schools respectively expanded the scopes of these two Mohist-School-originated thoughts. At the end, this article also presents a proposition that the thought of "All-loving" was transferred into the idea of the universe concerns in the Daoists, while the thought of "Virtue-respect" was adopted later by the Confucianists in the empires of Qin (秦)and Han(漢)dynasties to establish rational bureaucracy systems of their governments.