Abstract: Considering the uncertainty of demand quantity of product and the quality of recycling product of different periods in different districts in a closed-loop logistics system，a mixed integer non-linear programming model is established with multi-period，ability restricted，integrated operation of positive and reverse logistics.Let the minimal total cost of operation be the objective，decide the number，scale and the location of each kind of facilities and the logistics distribution of the system.In the end，an example is given to illustrate the effectiveness of the model.