At a retail store or wholesales, orderers must order their items adequately.For example, there are some situations such that they must order their items so as to reduce their order cost or to equalize the order quantity. In order to handle such problems unitedly, the Model Predictive Control (MPC) framework is effective, because the MPC is an optimal operation method of dynamical systems and the process of stocks can be seen as a dynamical system.In this paper, we propose a MPC framework for the inventory management and show its effectiveness by numerical examples.