The sustainable oriented demand, globalized competition, and governmental policies on climate change have enforced the industries to adopt sustainable practices. Green Lean Six Sigma (GLS) is an eco-friendly approach that mitigates carbon footprints and produces high specifications products. But to implement the GLS program, it is indispensable to integrate individual Green, Lean, and Six Sigma approaches in unique GLS methodology. Moreover, there exists no GLS framework that can be applied irrespective of the size, type, and culture of the organization. So, the present work deals with the integration and development of the GLS framework. The integration of the GLS was proposed based on theoretical elements, and the framework was developed based on DMAIC approach. It has found that enablers, toolset, and implementation methods supplement the integration of GLS. The proposed framework provides a path for GLS implementation through an appropriate selection of the project. Besides, it has identified that unique GLS indices and toolset are required to estimate various sustainability measures and execute selected GLS projects. The present study will facilitate the organizations to have readiness for the implementation of a sustainable GLS approach through a detailed understanding of integration and GLS framework. •The integration of GLS is proposed through common characteristics.•Integration of Green Lean Six Sigma (GLS) is area of exploration in research.•GLS framework is realized through Six Sigma DMAIC approach.•Inclusion of Lean and Green concepts with each DMAIC phase is demonstrated.