Considering the uncertainty of the customer delivery express quantities, the integer quadratic programming model of location problem of multi-type self-pick-up points was constructed by introducing the customer satisfaction function and aiming at minimizing the operating cost of self-pick-up points and maximizing the customer satisfaction. The real path distance between the demand point and the alternative self-pick-up point was obtained by AutoNavi platform, and the uncertainty of the express delivery quantity was described by the triangular fuzzy number to transform the model into a fuzzy chance-constrained programming model. The example solving was carried out by the Epsilon constraint algorithm combining with Cplex solver, and comparing the NSGA-II algorithm,  the fuzzy set theory was used to obtain a compromise solution. Compared with the optimal solution, the customer satisfaction is reduced by 11.4%, and the operating cost is increased by 26.3%. The results show that as the number of customer express delivery increase, the operating cost of self-pick-up points and customer satisfaction show a trend of increasing first and then decreasing,constructing multi-type self-pick-up points can effectively balance cost and customer satisfaction to achieve system optimization.