While modern military operations require both data and knowledge to be up-to-date and representative to the context and goals defined, they also increasingly imply the use of adaptive, intelligent, and robust systems, methods, and solutions where often human experts and AI (Artificial Intelligence)-based systems interact and coordinate to achieve shared objectives. In this context, this research aims to introduce a computational ontology for human-AI teaming within the domain of military operations in order to represent, model, and reason about its component agents, the teaming setting as a collective agent, and on its underlying structure, characteristics, relations, and behaviours while accounting corresponding autonomy, feedback, and trust dimensions. With this scope, a Design Science Research methodological approach is considered following the Knowledge Representation and Reasoning guidelines and principles. Index Terms—human-AI teaming, human-autonomy teaming, AI, ontology, military operations