The relationship between Dao and Discourse/Language constitutes a fascinating yet difficult question concerning how to understand Dao Itself, and to read Laozi and Zhuangzi's texts. Whether or not Dao can be spoken of, there are always certain difficulties in understanding their texts. In this paper, I will re-read Laozi and Zhuangzi's texts by making the distinction between Dao Discourse/Language (道言) and Ming Discourse/Language (名言), taking into considerations some new insights from contemporary western philosophy of language. I will demonstrate that discourse/language, in Laozi and Zhuangzis eyes, has an interconnected dimension with the Dao, thus leading to a new approach to the dilemma of Dao's fathomability. This new approach, i.e., relating Dao and the meaning-constituting nature of language, will in turn provide a new possibility to re-read the linguistic turn in contemporary Western philosophy.