This paper proposed a two-stage emergency logistics transportation and redistribution strategy for the problems considering the transportation timeliness and the supplies distribution fairness in emergency logistics. Firstly, This paper proposed the capacitated vehicle routing problem with maximum time satisfaction(CVRP-MTS) for emergency vehicle transport scheduling and the emergency supplies distribution problem with minimum weighted standard deviation of satisfactions(EMDP-MWSDS) based on the time satisfaction, the supplies satisfaction and the comprehensive satisfaction defined in this paper. Then this paper designed a hybrid grey wolf optimization algorithm(HGWOA) to solve the CVRP-MTS in the first stage. The HGWOA adopted the optimal split procedure decoding strategy, and adopted the chaotic search strategy, the 2-Opt and 1-1 local search strategy to improve the search ability of the algorithm. And this paper implemented the chaotic grey wolf optimization algorithm(CGWOA) to solve the EMDP-MWSDS in the second stage. The experimental results show that in the first stage, overall time satisfaction of the CVRP-MTS is 39.31% higher than that of the CVRP model. In the second stage, when 80% of the actual material quantity and 0.75 for the weight coefficient, the standard deviation of the comprehensive satisfaction degree is 0.061 9, and the standard deviation of the supplies satisfaction degree is 0.097 4. The distribution results effectively balance the victims' psychological demands and supplies utilization efficiency. The two-stage emergency logistics transportation and supplies redistribution distribution strategy can obtain high time satisfaction and good supplies distribution results, which prove the effectiveness of the proposed models and algorithms.