Supplier selection and order allocation is a complex managerial decision in today’s competitive markets. As an important section of this area, green supplier section has been properly focused in previous literature. However, joint supplier selection and order allocation under stochastic demand is less investigated. Firstly, a fuzzy analytic hierarchy process (FAHP) is applied to weight and select suppliers in terms of economic and environmental criteria. Secondly, a multi-objective nonlinear programming (MONLP) is developed and solved by genetic algorithm (GA) for the aim of order allocation. Findings of this study assist managers to systemically deal with the real-world problem of green supplier selection with different priorities and order quantities.