As an encyclopedia of Chinese feudal society, A Dream of Red Mansions has always been an academic hot topic. The description of Traditional Chinese Medicine (TCM) plays a vital role in promoting plot development and carrying forward TCM culture. Based on the three principles of translating TCM prescription names, this paper analyses 16 TCM prescription names in the first 80 chapters of the novel in order to find the translation methods of prescription names. It is found that TCM prescription names containing main medicine mainly adopt literal translation because of its brevity; due to the length, TCM prescription names containing healing effects mainly use free translation to conform to the principles of information and conciseness; TCM prescription names containing numbers or colors employ literal translation to in accordance with the principle of back-translation; TCM prescription names containing cultural information usually use free translation and transliteration with a view to meet the principles of information and conciseness.