In the Confucian model of the Chinese family, the property of family was tie up with the concept of the part lineal line from father to son to grandson. But fatally, there were in twenty to thirty percent of couples the wife reached the end of her child-bearing years without there being a living natal male heir. How a Hujue (戶絕) family, the parents had no sons or their sons died before having sons, selected the heir at law and property rights of women at such situation is the main concern of the article. In recent years, the scholars made researches into the inheritance of property of daughters. This article discussed the topic as well.