The corporate sustainability strategy in organisations is a current topic and set in Agenda 2030 for sustainability, and so this study aims to map the literature on the subject through a bibliometric analysis. From 97 documents identified and analyzed, the results obtained show the fragmentation and hiatus between the planning of a global strategy and inclusion therein of a sustainable strategy. Furthermore, these results provide the construction of a framework as an auxiliary tool for managers of different organisations to implement a sustainable strategy, this being the main contribution of the study. In addition, the theoretical contribution of this study is to obtain evidence that the resources and market position of organisations is crucial to the successful implementation of this type of strategy, in which the resource-based view and competitive advantage proved to be appropriate to support the same. The contribution to the practice showed the importance of having full involvement and commitment of all stakeholders in this implementation, so that the organisations acquire the so ambitious internal and external legitimacy. Finally, some limitations, indications for future research are draw.