The meteorological disasters have brought destructive damages all around the world in the past decades. These disasters have posed great threats to sustainable development. It is necessary to evaluate meteorological disaster risk to make corresponding emergency measures. The process is uncertain and fuzzy regarding the experts’ preferences. To deal with the problem, a novel evaluation approach based on PROMETHEE method and probabilistic linguistic term set (PLTS) is firstly proposed. First of all, PLTS is adopted to express preferences’ of experts. Then, the weights of criteria are obtained by the differential evolution (DE) algorithm, and steps of the method are proposed. Finally, the proposed method is used to evaluate the whole meteorological disaster risk in the southeast coastal areas of China and results have verified the effectiveness of the method. By comparing with some similar methods, results have demonstrated the advantages of the approach.