Abstract: The operation of supply chain under uncertian circumstance is studied,and a supply chain dynamic model with production time delay, cost parameter and demand uncertainty is developed.The robust operation of supply chain is analyzed,and the robust operation of supply chain is handled by a robust H_∞ control strategy and a linear matrix inequality algorithm.With the static feedback control of supply chain inventory state,the supply chain can restrain uncertainty disturbance and result in an ideal cost of supply chain operation.A simulation is made to validate the result.