It is of great significance to reduce the blindness and the losses for investors to invest in listed companies with large stock dividends. Based on the characteristics of investors and listed companies in Chinese stock market, the motives to implement large stock dividends policy of listed companies can be summarized by the importance from high to low: signal transmission, additional issuance, low-priced stock preference and equity expansion. An index system for selecting large stock dividends is presented. According to the calculation results of analytic network process (ANP), the importance of the indices from high to low is: the new investment projects, the return on net assets, the net profit growth rate, the retained earnings per share, private equity, net cash flow per share, share price, total share capital, turnover rate and the ratio of circulating stock. The case study of listed companies indicates that the listed companies with a score greater than 0.44 are most likely to carry out large stock dividends policy in the future.