Sustainable construction (SC) has become a primary objective of the building and construction industry due to the growing demand for reduced environmental impacts and more efficient resource use. Simultaneously, lean construction (LC), which focuses on minimizing waste and maximizing productivity, offers an opportunity to achieve greater sustainability in the construction process. This study explores the integration of LC and SC through a systematic literature review, employing VOSviewer software for quantitative analysis alongside qualitative analysis in conjunction with a comprehensive literature review. The findings reveal substantial synergies between LC and SC, including cost savings, waste reduction, and enhanced safety. However, challenges such as cost conflicts, environmental trade-offs, and worker welfare concerns act as barriers to effective integration. To address these challenges, this study proposes leveraging dynamic capabilities (DCs)—such as change management, organizational learning, organizational flexibility, and continuous improvement and innovation—as strategies for the successful integration of LC and SC. These insights contribute to academic research and industry practice, providing a practical framework for integrating LC and SC to improve sustainability and efficiency in construction projects.