Industry 4.0 is the new paradigm of the fourth industrial revolution; it embodies a smart industry by applying advanced information and communication systems, and high technology. These advancements evolved and assisted the supply chain to become a more adaptive network creating new opportunities for supply chain competitiveness. Management paradigms as lean and green can develop improvements in the supply chain. The integrative lean and green approach eliminates non-value added activities and at the same time reduces environment impacts and risks throughout the supply chain operations. This study is motivated by the lack of evidence how the lean and green supply chain should evolve to work efficiently in Industry 4.0 environment. The purpose of this study is to investigate whether Industry 4.0 can support the implementation of the lean and green supply chain. Based on literature review, a conceptualization of the relations between Industry 4.0, supply chain management and lean and green paradigms is presented. This paper provides an understanding of how this new industrial revolution incorporated lean and green supply chain paradigms.