Abstract Divident discount model found further expected dividend discounting to some fix period. The dividends are determined from the the core of company and relates retain earning. In Taiwan stock market, divedneds are not paid per season. So, I adept earning per share to proxy variable and employ market value weight to conduct dividends for Taiwan stock idnex. The next step, investgate the relationship between price index and diviednds using the econometric model was created by Kapetanios et al. (2006). Consequencely, the relationship are fitted discribtion by ESTR cointegration rather than linear cointegration.