This paper draws the contours of a hitherto unexplored concept: connectivity justice. It refers to the rights and opportunities of individuals and organizations to manage whether and how they connect to different, especially digital, networks and infrastructures. It may range from having a bus-stop or mobile transmitter close to where one lives to possessing the means and skills for using digital authorization apps or booking platforms. As such, connectivity justice overlaps with, but also extends beyond mobility justice and data justice. The paper presents a conceptual overview of mobility justice, data justice and related terms – such as “mobility data justice” – showing how these terms overlap with connectivity justice, while at the same time crystallizing the distinct properties of the latter term. In a digital society, connectivity is largely a precondition for the capacity to move and to utilize media platforms involving datafication processes (with their positive and negative implications). At the same time, connectivity entails the capacity to withdraw from networks and thus avoid certain types of interactions, such as, surveillance. Connectivity justice is thus not only a matter of justly distributed opportunities to connect and utilize digital resources; it also concerns the right to disconnect. The latter aspect has been discussed especially in relation to certain forms of digital(ized) labor, but can be applied across social realms pertaining to citizens and consumers with various needs, desires and passions. As a case in point, the hospitality industry (including hotels, coworking spaces, etc.) provides good opportunities for studying how connectivity justice interacts with mobility and data justice pertaining to different clienteles. Connectivity justice may spur critical discussions within the field of geomedia studies that break away from any universalizing ethics in favor of an ethics of care.