Despite the recognition of the benefits that can be achieved through the use of Open Educational Resources (OER) and, more broadly, Open Educational Practices (OEP), there has been little research on the competences that are needed to enable educators to utilise such practices. To contribute to closing this gap, this paper presents a framework of the competences that educators in higher education should develop in order to effectively engage in OEP. The framework development was based on an in-depth analysis of a set of existing successful open teaching practices, which allowed to identify the underlying competences needed to engage in each one of them. The competence framework consists of one transversal attitude (that of being open to constructively engaging in OEP) and two competence categories (those relating to OER and those relating to open pedagogies). These two categories include a total of eight competences, described in detail through the corresponding knowledge and skills. The paper closes with a reflection on how to facilitate the attainment of these competences, that could become a key part of existing capacity building actions for educators at all levels, and suggests some directions for possible future research.