The main aim of the current study is to develop a new model for the minimum cost of optimum design for a sewer network with pumping stations. The difficulty and relatively large number of nonlinear and discrete constraints in a sewer network with pump station design problems make their handling of extreme importance. For this purpose, an adaptive genetic algorithm (GA) model is proposed for the effective and efficient optimal design with a fixed layout so that each chromosome, consists of diameters, slopes of the pipes and pump indicators. In the present model, the pump locations are decided preliminary, then for each GA chromosome, the network characteristics including the diameters of pipes and slope for those pipes are determined. MATLAB code was used to perform the optimization model. Then a sewer network from previous literature was used to be designed as a benchmark example for the proposed method. It’s concluded that the proposed model has reached the optimal solution at the lowest cost and the fewest number of generations compared with previous methods in the literature.