Recent major disruptions frequently result in disastrous failures of logistics system, so the research on reliable logistics system design method under disruptions has been highlighted gradually in the supply chain risk management academic domain. In the paper, based on the category measures, such as design problem type, disruptions modeling form, decision-maker risk attitude and underlying logistics system model, we categorize and review broad range of quantitative models for designing reliable logistics system under disruptions and their potential modification. Finally some future research problems on reliable logistics system design are pointed out. It is hoped that what we presented in the paper will stimulate the development of reliable logistics system design theory under disruptions.