Aiming at the multi-echelon location-routing problem(ME-LRP) based on the directed graph theory, a systematic model is built up, and a combination intelligent algorithm of the quantum-inspired evolutionary algorithm(QEA) and genetic algorithm(GA) is applied to solve it. The QEA is applied to solve the facility location problem(FLP) and facility allocation problem(FAP), and the GA is applied to solve the vehicle routing problem(VRP). In order to improve the efficiency of the algorithm, the searching strategy based on the reachable distribution region and the facility allocation strategy based on path length are proposed. The results from the testing example shows that, the proposed ME-LRP mathematical model and the combined intelligent algorithm are feasible and effective, which provide the oretical and methodical guidance for the ME-LRP.