The aim of this article is to form a new communication model, which is centered on the intermediate stage of communication, here called medium. The model is intended to be irreducible, to highlight the essential communication entities and their interrelations, and potentially to cover all conceivable kinds of communication of meaning. It is designed to clearly account for both verbal and nonverbal meaning, the different roles played by minds and bodies in communication, and the relation between presemiotic and semiotic media features. As a result, the model also pinpoints fundamental obstacles for communication located in media products themselves, and demonstrates how Shannon’s model of transmission of computable data can be incorporated in a model of human communication of meaning.