In a world of unprecedented (diachronic and synchronic) complexities like ours, firms are forced to deal with an increasing number of organizational paradoxes that challenge their strategic choices. Under these circumstances, ambidexterity could become a (dynamic) core competence for firms, making the ambidextrous organization an imperative for businesses more than ever before. The paper aims to explore, based on an integrative approach, the most relevant literature on the interdependencies between the two topics (strategic paradoxes and organizational ambidexterity), in order to identify the most important thesis, arguments and solutions that support the ambidextrous organization, four decades after its first introduction into the academic literature (Duncan, 1976).