In view of the optimization of multimodal transport path under the uncertainty of time window and demand, the multi-objective fuzzy opportunity constraint model is established by using keystone fuzzy number to represent fuzzy demand and fuzzy time window, considering carbon emission and transportation costs and customer satisfaction. The fixed crossover and mutation probability will directly affect the convergence of the algorithm. For this problem, the adaptability is combined with the NSGA-II algorithm, and the effectiveness of the proposed model and algorithm is verified by comparison with CPLEX. And based on the mandatory carbon emission model, the optimal paths of multiple orders are obtained through the adaptive NSGA-II algorithm.