This study has developed a dynamic multi-objective mathematics model for location-routing problem (DMLRP) to minimize the total time and cost. A multi-objective hybrid genetic algorithm has presented, and a test has designed to demonstrate reliability and effectively for the model and the algorithm. The test result showed that the proposed meta-heuristic can solve DMLRP effectively and also can avoid the limitation of traditional multi-objective optimization methods. Finally, the result of the numerical example has analyzed to help the decision maker making decision effectively and quickly.