To identify how a governance structure leads to ambidexterity at the cluster level, in terms of knowledge management, this study draws on the knowledge -based view of clusters and on ambidexterity literature, thereby exploring an ‘intermediated’ cluster model of ambidexterity. Our aim is to explore the governance structure’s role and priorities in terms of knowledge management, as well as the underlying operational actions and programmes implemented to achieve cluster ambidexterity. Qualitative research, based on interviews with members of two French clusters, reveals that their governance structure is a crucial intermediary organisation that supports cluster ambidexterity. The results emphasise the role of governance structures for two types of ambidexterity in small and medium-sized enterprise (SME) clusters: First, SMEs may specialise in exploitative or exploratory knowledge, and the governance structure provides the missing knowledge (intermediated specialised model). Second, cluster governance may help each firm become ambidextrous (intermediated dual model). This study outlines the specificities of the two models and their contingency factors, which offer interesting implications, especially for policymakers devoted to innovation and clusters.