Plato in the Greater Hippias 304e and the Republic 497d claims that ‘the beautiful things are difficult’ (‘χαλεπὰ τὰ καλά’). From his assertion, we can know that the subject of beauty is so difficult that even great philosophers such as the man himself had to lament. This paper is based on the Greater Hippias to inquire into Plato’s concept of beauty. ‘What is beauty?’ and ‘what is beautiful?’ are at the core of Socrates’s and Hippias’s debates in Plato’s Greater Hippias. Socrates is concerned with the beauty of noesis, while Hippias is involved in the beauty of aesthesis. Between them there is the middle faculty (τὸ μεταξύ), which Plato calls τὸ κάλλος (fairness), and which he further divides into ‘τὸ κάλλος τοῦ σώματος’ and ‘τὸ τῶν μαθημάτων κάλλος’ to refute the Sophists’s assertation of beauty and to show that the latter are ignorant of the concept of beauty, by means of which he further shows that knowledge (or truth), virtue and beauty are tripartite. This paper essays to discuss in depth beauty (τὸ καλόν), fairness (τὸ κάλλος) and beautiful (καλόν) from the difference between Socrates’s ‘τὸ καλόν’ and Hippias’s ‘καλόν’ and their connection with virtue.