Ethical concerns that have recently been discussed in line with digitalization and its widespread effects have led to the emergence of the concept of corporate digital responsibility in the corporate responsibility literature. Corporate digital responsibility, which focuses on the responsible use and management of digital technologies, plays an important role in shaping the relationship between people and digital technologies by aiming to maximize the benefits of digitalization while minimizing its negative effects on a wide range of issues such as data privacy, security, ethical aspects of artificial intelligence. This chapter aims to introduce the concept of corporate digital responsibility and summarizes the discussions in the literature and the various principle-based frameworks and models that have been developed to conceptualize corporate digital responsibility and make it applicable in practice. In addition, a brief overview of the key concepts, the salient debates in line with the frameworks and the future of the concept are presented.