A fuzzy multi-Attribute decision making method based on entropy is presented to deal with the optimal decision problem of vendor selection in the Supply Chain. For the fuzzy multi-attribute decision making problem, attribute set is identified, weight of each attribute is calculated in the use of information entropy, and the optimal solution is determined by using the fuzzy number sorting method to sort the fuzzy utility values of the programs. An example is applied for the rating sort of 5 vendors to select the most appropriate one. The method is proved to be effective in vendor selection.