To guarantee the safe and reliable delivery of relief supplies to disaster areas, a relief delivery model based on path connectivity reliability is proposed. In the study, the connectivity reliability of each path under various disruption levels and road grades was identified with Delphi method, and the possibility Goal Oriented (GO) method was introduced to identify the connectivity reliability of the delivery network. Based on the connectivity reliability of the network, a penalty parameter was introduced. Considering the uncertain influence of disruption on road network reliability, the interval number and triangular fuzzy number were used to indicate the uncertain delivery time and unit material delivery cost, respectively. A multi-objective model based on path connectivity reliability was established. Through the case study and result comparison, the study's improved model was proved to be superior. Results show that the delay times of the model and traditional model is 0. Moreover, the delivery costs of the new model and traditional model are 17,586 and 17,340, respectively. Although the delivery cost of the new model is greater, its demand satisfaction rate is much higher than that of traditional models. Thus, the new model can significantly guide relief delivery when the road condition is affected by disruptions.