Ssu-ma Ch'ien and Liu Zhi-ji are two distinguished historians in ancient Chinese history. The former wrote the Records of the Historian (Shih-chi 史記), recognized as the first writings of general history with the annual-biography style in Chinese historiography. He is also a precursor for establishing a paradigm to the History Authority (Zheng-shih 正史) for the successive ages. The latter worte the Shih-t'ung (Generalities on History 史通), known as the first historical treatise on Chinese Historical criticism, based on which to analyze and criticize a variety of historical elements for the Chinese historiography authority from the Pre-Chin to the T'ang era. The two maxims individually advocated by these two well-known historians are disparity in manners, characteristics and intelligence at the first glance, and seemingly do not deserve to make any comparisons. Nevertheless, we manifest a definite connection and consistency between two maxims by scrutinizing their significance in conjunction with historical thoughts, methodology and functionality appealed by two outstanding historians. Furthermore, on the strength of correlations between two maxims we observe an excellent Chinese historiographical tradition from the Han to the T'ang dynasty as well as the entire Chinese historiography.