The container cargo flow is now growing, especially in Asia. Coping with this growth, the size of container ships become bigger and the container cargo flow network is changing to, for example, hub and spokes network. The present paper proposes a design method of the container cargo flow network. The network problem is dealt with as a minimum cost problem in this paper. The main OD cargo flow and the distance table give the optimized network and this network can be used as a first plan. The characteristic of this method is to use some mathematical programming and to be designed on a step-by-step basis. An example of the design of the container cargo flow network is presented to show the effectiveness of this method.