PurposeCurrently, studies involving innovation capability and sustainability have been gaining prominence. This logic is also permeating the firms, which need to adapt their innovation capabilities to sustainability. Therefore, the objective of this article is to map the field of innovation capability and sustainability to observe how these two areas have evolved over time.Design/methodology/approachThe bibliometric method was used to conduct this study from the Scopus database.Findings The authors verified in their research that the theme appears in the literature in the mid-2000s, however as of 2013 it has gained strength, opening discussions on different fronts. The results show that theoretical and empirical research does not dissociate the fundamental logic of the firm that is to produce and remain competitive from the new logics of generating innovation capability for sustainability, on the contrary, sustainability is an important component for its economic performance.Originality/valueNo other studies are found in the literature that search for the state of the art of the evolution of the innovation capability and sustainability.