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The logistics distribution system in this paper, includes not only the forwards logistics but also the reverse logistics, so it can not be described felicitously with a general mathematical model. In order to reduce the difficulty of modeling, and to describe the dynamic process and logical relations of the system more easily and intuitively, the logical Petri net is applied in the modeling of the logistics distribution system. General work processes of the system are analyzed firstly. Then the dynamic operation process of the logistics distribution system is described by logical Petri net model well and correctly. Lastly some important characters of this system are analyzed based on the model.