This paper developed a global supply chain with a supplier and a retailer in different countries. When exchange rate and demand risks are concentrated in retailer, a distributionally robust approach is used to formulate an optimized robust ordering strategy. Furthermore, the effect of financial hedging incentive contracts on the robust decisions and the profits of the global supply chain is explored. Our findings show that the correlation between exchange rate and demand does not affect the robust decisions of retailer. The effectiveness of financial hedging incentive contracts depends on the trade‐off between transaction costs of financial hedging and the degree of supplier incentives and the growth rate of order quantity.