Abstract: Studies the stocking quantity locus on the conditions that there is redundancy in inventory in logistics center and the distribution system demands time-dependent goods, with the intention of keeping its inventory to satisfy the demands of retailers in time and upgrade the level of their service. The inventory management cost can be reduced if stocking locus is behind demanding locus. Analyzing the logistics system and then based on the optimal control theory, the Hamilton function and co-state equation are used to develop an optimal stocking tactic so as to keep satisfactory inventory, thus predicting the data available to control the stocking quantity needed by logistics center. In this way the stocking procedure can be scheduled to satisfy inventory to the utmost extent. An example is given to show the validity of the control tactic proposed.