Acquisitions represent a strategy for enhancing competitive responsiveness in the global management of technology and innovation. Even more than single and domestic acquisitions, cross‐border acquisition programs present opportunities for firms seeking to sustain innovation. Yet, scant attention has been paid to the innovation dynamics of pursuing multiple, international acquisitions. We remedy this gap by investigating a multinational logistics firm enacting a multi‐decade program of cross‐border, technology intensive acquisitions and achieving dual competencies in (1) innovation and ambidexterity, (2) the exploration and exploitation capabilities of ambidexterity, and (3) tight and loose integration approaches. We determine that the firm relied on contextual, temporal, and structural manifestations of ambidexterity in acquisition integration. Findings illuminate the processual nature of an international acquisition program and suggest how ambidexterity benefits the acquisition of both innovation and innovative capabilities, when a firm applies a portfolio of tight‐to‐loose integration approaches.