Due to the uncertainty of the market demand in the supply chain,this paper characterized market demand as a fuzzy variable and proposed single-period and long-term contracts to coordinate the two members(supplier and buyer)in the supply chain.Comparison of the effectiveness of the two contracts indicates that a long-term contract is more effective than a single-period contract in improving the profit potential of both the total supply chain and each member in the supply chain.This conclusion is useful to the decision -maker in supply chains with fuzzy market demand. Due to the uncertainty of the market demand in the supply chain, this paper characterized market demand as a fuzzy variable and proposed single-period and long-term contracts to coordinate the two members (supplier and buyer) in the supply chain. effectiveness of the two contracts says that a long-term contract is more effective than a single-period contract in improving the profit potential of both the total supply chain and each member in the supply chain.This conclusion is useful to the decision -maker in supply chains with fuzzy market demand.