Abstract: Purpose/Significance In view of the fact that the existing cost consensus models that are all based on symmetric adjustment cost and deterministic decision environment, this paper studies two-stage stochastic cost consensus models under the background of asymmetric cost by introducing stochastic scenarios. Design/Methodology Firstly, considering directional constraints, compromise limits and cost-free adjustment thresholds, three kinds of two-stage stochastic cost consensus models are constructed based on various uncertainty factors of decision-makers. Secondly, the L-shape algorithm is designed to solve the problem considering the difficulty of solving the proposed models. Finally, the model is applied to the background of the “Grains to Green” afforestation program in China. Conclusions/Findings The numerical experiments show that the models have a strong practicability. In addition, the comparative analysis and sensitivity analysis also verify the robustness of the proposed models.