In order to resolve material ordering and inventory control problem in supply chain, optimization method based on GA is put forward. Supply chain model in the paper is made up of one supplier, one manufacturer, N-retailers and end customers. Moreover, supply chain model is developed in terms of two policies: traditionally centralized controlling policy and the coordinating controlling policy. Lastly, optimizing ordering and inventory control problem for supply chain is solved by genetic algorithm (GA), and an instance is illustrated to show the validity of the method.