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In today’s globally competitive market, manufacturing organisations must find innovative ways to delight stakeholders while achieving profitable growth. Lean Six Sigma is one of the best techniques which has been used for more than two decades to make quality products by reducing defects. The current scenario for the development puts more effort towards sustainability, and hence stakeholders and consumers are all demanding for sustainable products. Nowadays, an integrated approach of sustainability and Lean Six Sigma has started to gain attention from researchers, which includes the financial, environmental, and societal factors of the organisation. The present study is a case study-based implementation of a hybrid framework of Sustainable Lean Six Sigma for manufacturing organisations. Through literature review and experts’ opinions, a total of thirty-four barriers and twenty-nine solutions were identified. For the ranking of barriers, the Best-worst method technique has been applied, and the Weighted Aggregates Sum Product Assessment technique is used for prioritisation of the solutions. The top barriers found out as lack of top management attitude towards sustainability concept, lack of project plans, techniques, and standard practices, lack of continuous improvement culture. The top solutions found are management participation to Sustainable Lean Six Sigma implementation, provide consulting to top management regarding Sustainable Lean Six Sigma benefits, develop a cooperative organisational culture. The obtained results are expected to be helpful to the managers for the implementation of the Sustainable Lean Six Sigma in their organisations. Hence, the present study will provide valuable insights to the researchers and practitioners.