Although interest in addressing environmental perspectives in supplier management is rising, incorporating the issue of carbon management into supplier selection in green supply chain is still considerably scarce. This study presents a model for evaluating carbon performance of suppliers by utilizing multiple-criteria decision-making. Through literature reviews and expert opinions, 13 criteria within carbon performance are identified for evaluating suppliers. Subsequently, the analytic network process is utilized to determine the relative weights of each criterion. Finally, the VlseKriterijumska Optimizacija I Kompromisno Resenje technique is employed to evaluate carbon performance of suppliers and compromise solution under each of the evaluation criteria. An illustrative example in an electronics company is presented to demonstrate how to select the most appropriate supplier in accordance with carbon management. To be effective in mitigating carbon risk across the supply chain, the proposed hybrid model can help firms evaluate carbon performance of suppliers for facilitating low carbon supply chain.