To deal with optimal design problem of manufacturing/remanufacturing logistics network involving stochastic parameters of continuous distribution, a two-stage stochastic programming model was designed by the way of Monte Carlo simulation sampling techniques. The model's computation efficiency was administrated by sample quantity, and the model could be solved by the calculations of mixed genetic algorithm. Combining sample average approximation method, optimal value's upper and lower bounds approaching techniques were expounded to acquire good objective value and corresponding feasible solutions, logistics network's optimal design steps were summarized based on two-stage stochastic programming, and also an example was illustrated to show the proposed model and its algorithm's applications in design decision-making.