Empirical researches have repeatedly proven the presence of premium in green buildings around the world; however, supply of green buildings in Taiwan was sparse even though the government promoted for more than a decade. Since there is a premium on the market, why is the supply still inadequate? Does the user not feel the green benefits? Or maintenance cost of green building is too high? This paper clarifies the cognition of green building among suppliers, demanders and managers. The results show that consumers not only do not know what green building is, but there is no strong demand for green building. And the preferences of green building from both ends are different, suppliers prefer to supply economic features but consumers prefer to social features. It is why green building market is difficult to flourish in Taiwan.