Nowadays, in response to the desires of markets, stakeholders, and business organizations and growing public awareness of environmental concerns, companies have focused on their supply chains to improve their sustainability performance. In today's manufacturing business, finding a reputable supplier is of the highest significance, and sustainability is considered part of the process. An integrated AHP-PROMETHEE and CRITIC-PROMETHEE approach-based framework has been applied in this study for effectively evaluating and ranking prospective suppliers. The AHP (Analytical Hierarchy Process) and CRITIC (CRiteria Importance Through Inter-criteria Correlation) methods were used to establish the weights of the criteria in the instance of supplier selection, and after that, the PROMETHEE technique was used to rank the suppliers. The proposed framework has been implemented in a manufacturing industry, which examined five sustainable supplier choices of the industry. The top sustainable supplier selection criteria were price, quality, resource consumption and geographical location in this research. The study presented in this research may help managers and other business professionals discover important supplier selection criteria and pinpoint the best supplier for supply chain sustainability while preserving market competitiveness.