Abstract: On the basis of comprehensive factors such as reservoir, economic benefit and resource scale, etc, this paper refers to the research results from North American shale gas favorable areas prospecting, combines with the geochemical and sedimentary characteristics of Shanxi shales in Huainan coalfield, screens out eight influencing factors as the optimum indexes for shale gas favorable areas evaluation,and develops corresponding models for it. By using analytical hierarchy process (AHP), the weights of these evaluation indexes are present?ed, and by means of statistical analogy, undetermined coefficient method and fuzzy optimization technology, the membership values of each evaluation parameter are determined. Finally, the shale gas favorable areas of Shanxi formation in Huainan coalfield are comprehensively evaluated and predicted by fuzzy optimization and geographic information system(GIS) spatial overlay techniques. The results show that the favorable areas can be divided into four categories, of which the southeastern part in the study area, Gudian?Guqiao?Guiji?Liuji rural areas and Yanglou rural area are the most favorable areas for shale gas development